Whole and Part - SSAT Upper Level Quantitative (Math)
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Susie won 
from the lottery. If she has to pay 
of the winnings to taxes and gives her parents 
of the remaining amount, how much does she have left over?
Susie won
First, find out how much she has left after she pays her taxes.
Now, take away 
of the after-tax amount to find out how much she has left.
First, find out how much she has left after she pays her taxes.
Now, take away
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Initially, 
number of students were going to chip in to buy their teacher a present that cost 
dollars. If 
students decide not to pay, which of the following expressions represent how much each remaining student must now pay?
Initially,
To determine how much each person must pay, we will need to divide the total dollar amount by the number of people paying.
Before some students decided not to pay, the amount each person would have to pay is represented by the following expression:
Now, since 
students dropped out, we need to subtract that from the number of people who will be paying.
To determine how much each person must pay, we will need to divide the total dollar amount by the number of people paying.
Before some students decided not to pay, the amount each person would have to pay is represented by the following expression:
Now, since
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Kerry spends 
of his monthly salary on rent, 
on food, and 
on movies. If he spent 
on rent, how much did he spend on food?
Kerry spends
First, find out how much Kerry makes per month. Let 
be his monthly salary. We know that he spends 
of his monthly salary on rent, and that he spends 
on rent. Knowing this, we can set up an equation and solve for 
, how much Kerry makes per month.
Now, we can find out how much he spends on food.
First, find out how much Kerry makes per month. Let
Now, we can find out how much he spends on food.
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Pauline has 
pieces of candy. If she eats 
of the candy then accidentally drops 
of the remaining amount on the ground, how many pieces of candy does she have left?
Pauline has
First, find out how many pieces of candy Pauline has after eating 
of them.
Now, she loses 
of this remaining amount. Since 
of 
is 
, that means that her new total is 15 - 5 = 10 pieces of candy.
Pauline is left with 10 pieces of candy.
First, find out how many pieces of candy Pauline has after eating
Now, she loses 
Pauline is left with 10 pieces of candy.
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A class of 
students was polled. If 
of them claimed that they enjoy eating sushi, how many students enjoy eating sushi?
A class of
Multiply the total number of students by the fraction to find out how many of them enjoy eating sushi.
students in the class enjoy eating sushi.
Multiply the total number of students by the fraction to find out how many of them enjoy eating sushi.
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A car is on sale for 
off. If the original price is 
, how much does the car cost when it is on sale?
A car is on sale for
Subtract the discount from the original price of the car.
The discounted car costs 
.
Subtract the discount from the original price of the car.
The discounted car costs
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Jeremy bought 
worth of toothpaste. At the checkout, he found that he had a coupon that would take 
off the cost of the toothpaste. How much will Jeremy pay for the toothpaste if he uses the coupon?
Jeremy bought
Subtract the amount the coupon would take off from the total amount the toothpaste would cost.
If Jeremy uses the coupon, the toothpaste will cost 
.
Subtract the amount the coupon would take off from the total amount the toothpaste would cost.
If Jeremy uses the coupon, the toothpaste will cost
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What is 
of 
?
What is
Multiply 
by 
to find the answer.
.
Multiply
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The tax on the sale of a house worth 
was 
. What was the tax rate?
The tax on the sale of a house worth
To find the tax rate, divide the tax amount by the total worth of the house.
Now, convert this decimal into a percentage.
The tax rate on this house sale is 
.
To find the tax rate, divide the tax amount by the total worth of the house.
Now, convert this decimal into a percentage.
The tax rate on this house sale is
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If Hannah needs to pay a 
tax on her yearly income of 
, how much does she need to pay for the tax?
If Hannah needs to pay a
Multiply 
by 
to find the amount Hannah needs to pay in taxes.
Hannah needs to pay 
in taxes.
Multiply
Hannah needs to pay
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A dress goes on sale for 
off. If the dress originally cost 
, how much does it cost while it is on sale?
A dress goes on sale for
Subtract the amount discounted from the original cost of the dress to find its sale price.
The dress cost 
on sale.
Subtract the amount discounted from the original cost of the dress to find its sale price.
The dress cost
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After a 
discount, a car costs 
. How much did the car cost before the discount?
After a
Let 
be the cost of the car before the discount. Since we know that the car at a discount costs 
, we can write the following equation:
Now, solve for 
to find the cost of the car before the discount.
The car originally cost 
before the 
discount was applied.
Let
Now, solve for
The car originally cost
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There are 
yellow marbles in a bag. If 
of the marbles in the bag are yellow, how many total marbles are in the bag?
There are
Let 
be the total number of marbles in the bag. Since we know that 
of the marbles are yellow, we can set up the following equation and solve for 
:
There are 
total marbles in the bag.
Let
There are
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Byron eats 
calories for lunch. If he eats 
of his calories at lunch, what is the total number of calories he eats for the day?
Byron eats
Let 
be the total number of calories Byron eats in a day. With the information given in the question, we can write the following equation and solve for 
.
Byron eats 
calories for the day described in the question.
Let
Byron eats
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Max bought a t-shirt that was on sale at the store for 
. If he paid 
for the shirt, how much would the shirt have costed before the sale?
Max bought a t-shirt that was on sale at the store for
Let 
be the cost of the t-shirt before it went on sale. With the information given in the question, we can write the following equation and solve for .
This can be rewritten as:
The shirt cost 
before the sale.
Let
This can be rewritten as:
The shirt cost
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Roselyn spent 
when she bought a vacuum that was 
off. How much did the vacuum cost before the sale?
Roselyn spent
Let 
be the cost of the vacuum before the sale. With the information given in the question, we can write the following equation and solve for .
This can be rewritten as:
The vacuum cost 
before it went on sale.
Let
This can be rewritten as:
The vacuum cost
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When Teresa saw that plane tickets to Hong Kong were 
off, she immediately bought a discounted ticket for 
. How much would the ticket have cost if tickets to Hong Kong were not on sale?
When Teresa saw that plane tickets to Hong Kong were
Let 
be the price of the non-discounted ticket. With the information given in the question, we can write the following equation and solve for .
The plane ticket that Teresa bought would have cost 
if it were not on sale.
Let
The plane ticket that Teresa bought would have cost
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There are 
red marbles in a bag. If 
of the marbles in the bag are red marbles, how many total marbles are in the bag?
There are
Let 
be the total number of marbles in the bag. With the information given in the question, we can write the following equation and solve for .
There are 
total marbles in the bag.
Let
There are
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If 
of a certain number is 
, what is that number?
If
Let 
be the number we are looking for. With the information given in the question, we can write the following equation and solve for .
of 
is 
, so 
is the correct answer.
Let
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If 
of a certain number is 
, what is that number?
If
Let 
be the number we are looking for. With the information given in the question, we can write the following equation and solve for .
of 
is 
, so 
is the correct answer.
Let
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