Other Percentage - SAT Math
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On average, professional poker player Ben wins 6 out of 10 games. If a win brings in $75, how many games should he play to cover his rent of $625?
On average, professional poker player Ben wins 6 out of 10 games. If a win brings in $75, how many games should he play to cover his rent of $625?
Put into an equation where x is the number of games, 0.6 * x * 75 = 625. X = 13.9, the answer is 14.
Put into an equation where x is the number of games, 0.6 * x * 75 = 625. X = 13.9, the answer is 14.
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An organic farmer has had a stall at the market for three years. The first year she sold 500 pounds of tomatoes. The second year she sold 650 pounds of tomatoes. The third year she sold 750 pounds of tomatoes. What is the percentage increase in sales from year 1 to 2 and year 2 to 3? Round to one decimal point.
An organic farmer has had a stall at the market for three years. The first year she sold 500 pounds of tomatoes. The second year she sold 650 pounds of tomatoes. The third year she sold 750 pounds of tomatoes. What is the percentage increase in sales from year 1 to 2 and year 2 to 3? Round to one decimal point.
Year 2 Percentage increase =
(Year 2 – Year 1) / Year 1 =
(650 – 500) / 500 = 150 / 500 = .3 = 30.0%
Year 3 Percentage increase =
(Year 3 – Year 2) / Year 2 =
(750 – 650) / 650 = 100 / 650 = .154 = 15.4%
Year 2 Percentage increase =
(Year 2 – Year 1) / Year 1 =
(650 – 500) / 500 = 150 / 500 = .3 = 30.0%
Year 3 Percentage increase =
(Year 3 – Year 2) / Year 2 =
(750 – 650) / 650 = 100 / 650 = .154 = 15.4%
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If there are 36 students in a class and the teacher wants the top 25% of the students to move up to the advanced level course. How many students will remain in the class?
If there are 36 students in a class and the teacher wants the top 25% of the students to move up to the advanced level course. How many students will remain in the class?
The key here is to find 25% of the total class (36), and subtract that value from the total (36). You can also look at the problem from reversely and find how many students are in the remaining 75% of the total 36. Remember to change the percent to a decimal for easy calculation. 36- 0.25(36)= 27 or 0.75(36)=27
The key here is to find 25% of the total class (36), and subtract that value from the total (36). You can also look at the problem from reversely and find how many students are in the remaining 75% of the total 36. Remember to change the percent to a decimal for easy calculation. 36- 0.25(36)= 27 or 0.75(36)=27
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What number is 125% of 60?
What number is 125% of 60?
Translate this into a mathematical equation:
x = 1.25 * 60
x = 75
Translate this into a mathematical equation:
x = 1.25 * 60
x = 75
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What percent of 240 is 12?
What percent of 240 is 12?
"Is" means an equal sign and "of" means multiplication.
0.01z * 240 = 12 and solving for z = 0.05 or 5%
"Is" means an equal sign and "of" means multiplication.
0.01z * 240 = 12 and solving for z = 0.05 or 5%
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A person sleeps six hours each day. Monday through Friday, he spends 75% of his waking day in work-related activities (commuting, working, etc). Monday through Sunday, he spends 10% of his waking hours attending to vital needs (cleaning, eating, etc). If this person does not work on Saturday or Sunday, how much free time (to the closest minute) does he have every week?
A person sleeps six hours each day. Monday through Friday, he spends 75% of his waking day in work-related activities (commuting, working, etc). Monday through Sunday, he spends 10% of his waking hours attending to vital needs (cleaning, eating, etc). If this person does not work on Saturday or Sunday, how much free time (to the closest minute) does he have every week?
Let's consider our data in a summary fashion:
The day begins with 24 hours. After sleeping 6 of those, the person has 18 remaining hours. Of those, 10% are given to vital tasks every day. That means that he uses 18 * 0.1 or 1.8 hours each day for these tasks. Therefore, he has 16.2 hours remaining. This will be free time on Saturday and Sunday.
During the week, however, he uses 75% of his waking time in work activities. This means that he spends 18 * 0.75 or 13.5 hours. He therefore has 16.2 - 13.5 or 2.7 hours.
Now, to figure out the total amount for the week, he has 16.2 for the two weekend days and 2.7 for the five week days, or: 16.2 * 2 + 2.7 * 5 = 32.4 + 13.5 = 45.9hours. This is equal to 45 hours and 0.9 * 60, or 54, minutes.
Let's consider our data in a summary fashion:
The day begins with 24 hours. After sleeping 6 of those, the person has 18 remaining hours. Of those, 10% are given to vital tasks every day. That means that he uses 18 * 0.1 or 1.8 hours each day for these tasks. Therefore, he has 16.2 hours remaining. This will be free time on Saturday and Sunday.
During the week, however, he uses 75% of his waking time in work activities. This means that he spends 18 * 0.75 or 13.5 hours. He therefore has 16.2 - 13.5 or 2.7 hours.
Now, to figure out the total amount for the week, he has 16.2 for the two weekend days and 2.7 for the five week days, or: 16.2 * 2 + 2.7 * 5 = 32.4 + 13.5 = 45.9hours. This is equal to 45 hours and 0.9 * 60, or 54, minutes.
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A bag contains three types of marbles: red, green, and yellow. 75% of the marbles are green or yellow. Which of the following values is valid in this case?
A bag contains three types of marbles: red, green, and yellow. 75% of the marbles are green or yellow. Which of the following values is valid in this case?
We have to consider each case:
15 Yellow, 32 Green, 10 Red
Total: 15 + 32 + 10 = 57; Yellow and Green: 15 + 32 = 47.
Percentage that are Yellow and Green = 47/57, or approximately 82.47%
12 Yellow, 32 Green, 2 Red
Total: 12 + 32 + 2 = 46; Yellow and Green: 12 + 32 = 44.
Percentage that are Yellow and Green = 44/46 or approximately 95.65%
3 Yellow, 1 Green, 4 Red
Total: 3 + 1 + 4 = 8; Yellow and Green: 3 + 1 = 4. Percentage that are Yellow and Green = 4/8 or 50%.
13 Yellow, 32 Green, 15 Red
Total: 13 + 32 + 15 = 60; Yellow and Green: 13 + 32 = 45
Percentage that are Yellow and Green = 45 / 60 or 75%. This is the answer.
We have to consider each case:
15 Yellow, 32 Green, 10 Red
Total: 15 + 32 + 10 = 57; Yellow and Green: 15 + 32 = 47.
Percentage that are Yellow and Green = 47/57, or approximately 82.47%
12 Yellow, 32 Green, 2 Red
Total: 12 + 32 + 2 = 46; Yellow and Green: 12 + 32 = 44.
Percentage that are Yellow and Green = 44/46 or approximately 95.65%
3 Yellow, 1 Green, 4 Red
Total: 3 + 1 + 4 = 8; Yellow and Green: 3 + 1 = 4. Percentage that are Yellow and Green = 4/8 or 50%.
13 Yellow, 32 Green, 15 Red
Total: 13 + 32 + 15 = 60; Yellow and Green: 13 + 32 = 45
Percentage that are Yellow and Green = 45 / 60 or 75%. This is the answer.
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If 10% of 
is equal to 25% of 
, and 
, what is the value of 
?
If 10% of
Find 25% of 
:
10% of 
is equal to 4. Therefore, 
.
Divide both sides by 0.1 to find that 
.
Find 25% of
10% of
Divide both sides by 0.1 to find that
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What percent of 
is 
?
What percent of
Set up a ratio where 
and solve for 
through cross multiplication.
Set up a ratio where
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In a jar of 240 coins, 20 percent are nickels and 5 percent are dimes. How many coins are not nickels or dimes?
In a jar of 240 coins, 20 percent are nickels and 5 percent are dimes. How many coins are not nickels or dimes?
75% of the coins are not nickels or dimes. This means that 
coins are not nickels or dimes.
75% of the coins are not nickels or dimes. This means that
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What percent of 
is 
?
What percent of 
This question involves the verbal cues "of" and "is." "Of" means to multiply and "is" means equal.
Thus the equation to solve becomes: 
.
This question involves the verbal cues "of" and "is." "Of" means to multiply and "is" means equal.
Thus the equation to solve becomes:
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What number is 125% of 120?
What number is 125% of 120?
Verbal cues include "of" and "is." Of means multiplication and is means equals
So the equation to solve becomes 
Verbal cues include "of" and "is." Of means multiplication and is means equals
So the equation to solve becomes
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What percent of 250 is 20?
What percent of 250 is 20?
Verbal cues include "of" and "is." Of means multiplication and is means equals
The equation to solve becomes 
so 
Verbal cues include "of" and "is." Of means multiplication and is means equals
The equation to solve becomes
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What number is 30% of 90?
What number is 30% of 90?
Verbal cues include "is" and "of." "Is" means equals and "of" means multiplication.
So the equation to solve becomes 
Verbal cues include "is" and "of." "Is" means equals and "of" means multiplication.
So the equation to solve becomes
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If the length of a rectangle is increased by 50% and with width of the same rectangle is decreased by 50%, what is the effect on the area of the rectangle?
If the length of a rectangle is increased by 50% and with width of the same rectangle is decreased by 50%, what is the effect on the area of the rectangle?
This is a good question to use random numbers. Lets use 100 and 10 as the lengths. That means the area = 100 x 10 = 1000
If we increase the length of the side measuring 100 by 50% = 150
If we decrease the length of the other side 50% = 5
Area = 150 x 5 = 750
We see that the area decreased by 250 or 25% decrease in area!
This is a good question to use random numbers. Lets use 100 and 10 as the lengths. That means the area = 100 x 10 = 1000
If we increase the length of the side measuring 100 by 50% = 150
If we decrease the length of the other side 50% = 5
Area = 150 x 5 = 750
We see that the area decreased by 250 or 25% decrease in area!
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If 80 percent of x is 200, what is 60 percent x?
If 80 percent of x is 200, what is 60 percent x?
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Seventeen percent of some number is 34. What is this number?
Seventeen percent of some number is 34. What is this number?
The algebraic expression is:
The algebraic expression is:
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There are 
registered students in the math club. Students are deciding what activity they could do for their end of semester event. They have three choices: rock climbing, bowling, or outdoor laser tag. 
students vote for rock climbing, 
students vote for bowling, and 
students vote for outdoor laser tag.
What percent of students did not vote?
There are
What percent of students did not vote?
The number of students who did not vote is:
The percent of students who did not vote is therefore:
of the students did not vote.
The number of students who did not vote is:
The percent of students who did not vote is therefore:
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Joaquin is running for Prom King. If he receives 
of the votes from a senior class of 
students, and 
of the votes from a junior class of 
students, how many votes did he receive in total?
Joaquin is running for Prom King. If he receives
First, we find how many seniors voted for him:
0.30 * 200 = 60 seniors
Then we find how many juniors using the same method
0.60 * 250 = 150 Juniors
Finally, we add the two together
60 + 150 = 210 students total
First, we find how many seniors voted for him:
0.30 * 200 = 60 seniors
Then we find how many juniors using the same method
0.60 * 250 = 150 Juniors
Finally, we add the two together
60 + 150 = 210 students total
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13 is what percent of 25?
13 is what percent of 25?
To solve this problem, we should set up the following proportion
where x is the percentage we are looking for.
To solve, simply cross multiply and solve for x.
Therefore, our answer is 52%.
To solve this problem, we should set up the following proportion
where x is the percentage we are looking for.
To solve, simply cross multiply and solve for x.
Therefore, our answer is 52%.
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