Finding Part, Percent, and Whole - Basic Arithmetic
Card 0 of 15
A school board plans to renovate one of its schools in order to make room for more people. After the renovation, the school's maximum capacity will increase by 20%. If the school's current maximum capacity is 1020 people, what will its maximum capacity be after the renovation?
A school board plans to renovate one of its schools in order to make room for more people. After the renovation, the school's maximum capacity will increase by 20%. If the school's current maximum capacity is 1020 people, what will its maximum capacity be after the renovation?
A 20% increase is equal to 120% of the original value. To figure out how much more space the building will have if expanded 20%, you must multiply the existing maximum capacity (1020) by 120%. To do this, first divide 120 by 100.
Then, multiply the result times the existing maximum capacity.
The result is your answer.
A 20% increase is equal to 120% of the original value. To figure out how much more space the building will have if expanded 20%, you must multiply the existing maximum capacity (1020) by 120%. To do this, first divide 120 by 100.
Then, multiply the result times the existing maximum capacity.
The result is your answer.
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What is 
of 
?
What is
Before multiplying, it's necessary to convert 0.25% to a decimal, which is 0.0025.
Multiply this 0.0025, with 100.
The correct answer is 0.25.
Before multiplying, it's necessary to convert 0.25% to a decimal, which is 0.0025.
Multiply this 0.0025, with 100.
The correct answer is 0.25.
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What is the perimeter of a semicircle with an area of 
?
What is the perimeter of a semicircle with an area of
This is a multi-step problem. The perimeter of a semicircle is the sum of the circumference and diameter. First, since we are given the area, we will need to find the radius.
For the area of a semicircle:
Since the area is 
, substitute this into A to find radius r.
Since the radius is 2, the diameter is 4.
The circumference for a semicircle is:
The perimeter is the sum of the circumference and diameter:
This is a multi-step problem. The perimeter of a semicircle is the sum of the circumference and diameter. First, since we are given the area, we will need to find the radius.
For the area of a semicircle:
Since the area is
Since the radius is 2, the diameter is 4.
The circumference for a semicircle is:
The perimeter is the sum of the circumference and diameter:
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Lucy is a real estate agent who is paid a 
commission on the value of each house she sells every month. She is also paid a base monthly rate of 
as part of her salary. If 
represents the value of the houses she sells per month, which of the following equations would accurately predict how much money she makes per month?
Lucy is a real estate agent who is paid a
To start, we need to convert the percent into a decimal.
Now, we know that Lucy receives 17% of the value of the homes she sells as her commission. Her commission can then be written as the expression 
.
Lucy is also paid $1000 regardless of if she sells any houses or not that month. In a linear equation, this would be our y-intercept.
Putting the pieces of the salary together, we get the following equation:
To start, we need to convert the percent into a decimal.
Now, we know that Lucy receives 17% of the value of the homes she sells as her commission. Her commission can then be written as the expression
Lucy is also paid $1000 regardless of if she sells any houses or not that month. In a linear equation, this would be our y-intercept.
Putting the pieces of the salary together, we get the following equation:
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What is 
of 
?
What is
Before multiplying, we can convert 
% into a decimal: 
.
Answering our initial question:
Before multiplying, we can convert
Answering our initial question:
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What is the perimeter of a rectangle with an area of 
, a length of 
, and a width of 
?
What is the perimeter of a rectangle with an area of
Based on the information given in the question, we know that 
. Since we also know the values of length 
and width 
, however, we don't need to use the area equation to solve for 
and 
, since the perimeter 
.
Substituting in the known values of 
and 
:
Based on the information given in the question, we know that
Substituting in the known values of
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What is 
of 
?
What is
Before we answer the question, we should convert 
into a decimal: 
= 
.
We can then substitute this value into the original question:
Before we answer the question, we should convert
We can then substitute this value into the original question:
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If 
of an unknown number is 
, what is the unknown number?
If
First, we will need to convert 
to a decimal.
Now, the word "of" means we will need to multiply 0.05 by our unknown number, 
. Set that equation to 18, since that is what the problem tells us.
Now, divide both sides by 0.05
First, we will need to convert
Now, the word "of" means we will need to multiply 0.05 by our unknown number,
Now, divide both sides by 0.05
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Jimmy is a salesman who is paid a base salary of 
per month. He also receives a 
commission on all his sales. If Jimmy sold 
worth of goods one month, how much was he paid for that month?
Jimmy is a salesman who is paid a base salary of
We can write the following equation to represet Jimmy's salary:
Because we know Jimmy sold $1920 this month, we can plug it into the above equation.
Now, convert the percent into a decimal to find how much Jimmy made this month.
We can write the following equation to represet Jimmy's salary:
Because we know Jimmy sold $1920 this month, we can plug it into the above equation.
Now, convert the percent into a decimal to find how much Jimmy made this month.
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If 
of 
is 
, what is the value of 
If
To be able to write the question as an equation, we need to first convert 
into a decimal.
Now, we can write the following equation and solve.
To be able to write the question as an equation, we need to first convert
Now, we can write the following equation and solve.
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If 
of an unknown number is 
, what is the unknown number?
If
First, we need to convert 
into a decimal.
Then, we can write the following equation using the information given in the question:
,
where 
is our unknown number.
Now, solve for 
First, we need to convert
Then, we can write the following equation using the information given in the question:
where
Now, solve for
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When an unknown number is increased by 
, it becomes the number 
. What is the unknown number?
When an unknown number is increased by
First, convert the percent into a decimal.
Now, increasing an unknown number by 
can be written by the following expression:
Next, set that equal to 88, since that is what the question tells us to do.
Now solve.
First, convert the percent into a decimal.
Now, increasing an unknown number by
Next, set that equal to 88, since that is what the question tells us to do.
Now solve.
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of an unknown number is 
. What is the unknown number?
Before we can write an equation, we need to turn the percent into a decimal.
Now, we can write the following equation:
Divide both sides by 
.
Before we can write an equation, we need to turn the percent into a decimal.
Now, we can write the following equation:
Divide both sides by
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If 
of an unknown number is 
, what is the unknown number?
If
First, let 
stand for the unknown number.
Then, let's convert the percentage 
into an equivalent decimal 
Translating the question above into an equation, we have:
Dividing both sides by 
, we see that 
.
First, let
Then, let's convert the percentage
Translating the question above into an equation, we have:
Dividing both sides by
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If 
of a number 
is 
, what is the value of 
?
If
First, let's convert the percentage 
into its equivalent decimal 
.
Then, translate the above question into an equation:
Dividing by 
:
First, let's convert the percentage
Then, translate the above question into an equation:
Dividing by
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