How to find the part from the whole with percentage - ISEE Middle Level Quantitative Reasoning
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Sally painted 11 pictures on Monday, 7 pictures on Wednesday, and 3 pictures on Friday. On average, how many pictures did Sally paint on those 3 days?
Sally painted 11 pictures on Monday, 7 pictures on Wednesday, and 3 pictures on Friday. On average, how many pictures did Sally paint on those 3 days?
To solve, first find the total number of pictures painted:
Then, divide the total number of pictures by the total number of days to find the average.
Sally painted an average of 7 pictures per day.
To solve, first find the total number of pictures painted:
Then, divide the total number of pictures by the total number of days to find the average.
Sally painted an average of 7 pictures per day.
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is 
of what number?
If 
is 
of a number, 
, then we can set up an equation. First, we convert 
to a decimal, 
. Then, we can formulate the equation below.
Solve for 
by dividing both sides of the equation by 
.
If
Solve for
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Which is larger?
a. 10% of 90
b. 5% of 160
c. 20% of 50
d. 30% of 40
Which is larger?
a. 10% of 90
b. 5% of 160
c. 20% of 50
d. 30% of 40
First find the percentage amount for each choice by multiplying the number by the percentage amount
a. 
b. 
c. 
d. 
Then compare the amounts to find the largest.
The answer is (d) 12.
First find the percentage amount for each choice by multiplying the number by the percentage amount
a.
b.
c.
d.
Then compare the amounts to find the largest.
The answer is (d) 12.
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A laptop computer is on sale for 40% less than the original price. If the original price is $345.00, what is the laptop's current sale price?
A laptop computer is on sale for 40% less than the original price. If the original price is $345.00, what is the laptop's current sale price?
First, multiply the original price by the sale percentage:
Then, subtract that amount from the original price to get the sale price:
.
The laptop's current sale price is 
First, multiply the original price by the sale percentage:
Then, subtract that amount from the original price to get the sale price:
The laptop's current sale price is
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Helen wants to buy a dress for a party. It is on sale for 37% off. How much does the dress currently costs, if its original price was $45.00?
Helen wants to buy a dress for a party. It is on sale for 37% off. How much does the dress currently costs, if its original price was $45.00?
First, multiply 45 by 0.37:
Then, subtract that amount from 45.00 to find the sale price:
Answer: The dress' sale price is $28.35.
First, multiply 45 by 0.37:
Then, subtract that amount from 45.00 to find the sale price:
Answer: The dress' sale price is $28.35.
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A restaurant is having a sale and lowering their prices by 20%. If an average meal for two normally costs $62.00, what will it costs under the current sale?
A restaurant is having a sale and lowering their prices by 20%. If an average meal for two normally costs $62.00, what will it costs under the current sale?
Multiply: 
Then, subtract that amount from the original price:
Answer: $49.60
Multiply:
Then, subtract that amount from the original price:
Answer: $49.60
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To get on the ballot for student body president, a student must turn in a petition with the signatures of 4% of the students. If there are 3,268 students, how many signatures must a student get to be on that ballot? (Round to the nearest whole person.)
To get on the ballot for student body president, a student must turn in a petition with the signatures of 4% of the students. If there are 3,268 students, how many signatures must a student get to be on that ballot? (Round to the nearest whole person.)
4% of 3,268 can be calculated by multiplying 3,268 by 0.04, the decimal equivalent of 4%:
Multiply 3,268 by 4, then move the decimal point two places to the right:
,
so
Rounded to the nearest whole number - 131 signatures.
4% of 3,268 can be calculated by multiplying 3,268 by 0.04, the decimal equivalent of 4%:
Multiply 3,268 by 4, then move the decimal point two places to the right:
so
Rounded to the nearest whole number - 131 signatures.
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Candy bought a sweater and a beanie on sale for 20% off. If the sweater cost $
and the beanie cost $
, how much did Candy spend?
Candy bought a sweater and a beanie on sale for 20% off. If the sweater cost $
In order to find how much money Candy spent, we must first figure out the cost of the merchandise before the discount. We do this by adding the prices together.
Next we must find 20% of $57.00.
Since 20% is the percentage Candy saved, we must subtract $11.40 from the original price.
So Candy spent $45.60.
In order to find how much money Candy spent, we must first figure out the cost of the merchandise before the discount. We do this by adding the prices together.
Next we must find 20% of $57.00.
Since 20% is the percentage Candy saved, we must subtract $11.40 from the original price.
So Candy spent $45.60.
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200 percent of what number is equal to the difference between 75 and 25?
200 percent of what number is equal to the difference between 75 and 25?
We must first start by finding the difference between 
and 
:
Next find the decimal equivalent of 
%, which is done by dividing by 
:
Now we divide 
by 
.
Our final answer is 
, because when it is multiplied by 
%, it equals the difference between 
and 
.
We must first start by finding the difference between
Next find the decimal equivalent of
Now we divide
Our final answer is
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75 is 60% of what number?
75 is 60% of what number?
Set up the proportion statement and solve for 
by cross-multiplying:
Set up the proportion statement and solve for
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What is 120% of 120?
What is 120% of 120?
Rewrite 120% as a decimal by writing 120 with a decimal point, then shifting it two spaces left:
Multiply this by 120:
Rewrite 120% as a decimal by writing 120 with a decimal point, then shifting it two spaces left:
Multiply this by 120:
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What is 225% of 225?
What is 225% of 225?
Rewrite 225% as a decimal by writing 225 with a decimal point, then shifting it two spaces left:
Multiply this by 225:
Rewrite 225% as a decimal by writing 225 with a decimal point, then shifting it two spaces left:
Multiply this by 225:
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What is 77% of 77?
What is 77% of 77?
Rewrite 77% as a decimal by writing 77 with a decimal point, then shifting it two spaces left:
Multiply this by 77:
Rewrite 77% as a decimal by writing 77 with a decimal point, then shifting it two spaces left:
Multiply this by 77:
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Jerry buys groceries that cost $43.23 before tax. The tax on groceries in his locality is 5.5%. He hands the cashier a $100 bill. What will he get back in change?
Jerry buys groceries that cost $43.23 before tax. The tax on groceries in his locality is 5.5%. He hands the cashier a $100 bill. What will he get back in change?
The tax on $43.23 worth of groceries is 5.5% of that, which is 0.055 multiplied by that:
when rounded to the nearest cent.
Add that to the price:
And subtract that from $100:
, which is the change
The tax on $43.23 worth of groceries is 5.5% of that, which is 0.055 multiplied by that:
Add that to the price:
And subtract that from $100:
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A bicycle Carly wants to buy costs $250 in her hometown in Tennessee, where she would pay no sales tax. Just across the border in Kentucky, she can buy the same bicycle for $225 in a store, but the sales tax is 8%. How much would Carly save by buying the bicycle in Kentucky?
A bicycle Carly wants to buy costs $250 in her hometown in Tennessee, where she would pay no sales tax. Just across the border in Kentucky, she can buy the same bicycle for $225 in a store, but the sales tax is 8%. How much would Carly save by buying the bicycle in Kentucky?
In the Kentucky store, Carly would pay $225, plus 8% of that amount, in tax; this is:
She would save 
In the Kentucky store, Carly would pay $225, plus 8% of that amount, in tax; this is:
She would save
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At the store where Harry works, a hat he wants to buy sells for $72.00. He gets an employee discount of 20%, and he wants to hold out for two weeks, when the hat is marked down 15%. How much will he be able to buy the hat for then?
At the store where Harry works, a hat he wants to buy sells for $72.00. He gets an employee discount of 20%, and he wants to hold out for two weeks, when the hat is marked down 15%. How much will he be able to buy the hat for then?
A 20% employee discount means that Harry gets to buy merchandise for 80% of the purchase price. A 15% markdown means that the hat will sell for 85% of its normal price. Therefore, Harry will pay 80% of 85% of $72 for the hat, or:
A 20% employee discount means that Harry gets to buy merchandise for 80% of the purchase price. A 15% markdown means that the hat will sell for 85% of its normal price. Therefore, Harry will pay 80% of 85% of $72 for the hat, or:
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Donald makes $17.50 an hour at current, and is due for a 5% raise. Also, as a result of an agreement with the union, management has promised a 16% increase in wages across the board for all workers. What will Donald earn per hour after these two increases?
Donald makes $17.50 an hour at current, and is due for a 5% raise. Also, as a result of an agreement with the union, management has promised a 16% increase in wages across the board for all workers. What will Donald earn per hour after these two increases?
As a result of a 5% raise, Donald's wages will be 105% of what they were before; the 16% wage hike will make Donald's wages 116% of that. Therefore, Donald will make:
As a result of a 5% raise, Donald's wages will be 105% of what they were before; the 16% wage hike will make Donald's wages 116% of that. Therefore, Donald will make:
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In appreciation for a job well done, Clark is being awarded a bonus equal to 12.5% of the salary he earned over the last two years. His monthly salary over that period has remained constant at $4,500 per month. What is the amount of the bonus?
In appreciation for a job well done, Clark is being awarded a bonus equal to 12.5% of the salary he earned over the last two years. His monthly salary over that period has remained constant at $4,500 per month. What is the amount of the bonus?
Over two years, or 24 months, Clark has earned
His bonus is 12.5% of this, or:
Over two years, or 24 months, Clark has earned
His bonus is 12.5% of this, or:
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What is 40% of 
?
What is 40% of
Set up the percent proportion, where 
is the part:
Solve for 
, rewriting as follows:
Set up the percent proportion, where
Solve for
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What is 
of 3,000?
What is
Set up a proportion, as follows:
Solve for 
by cross-mutiplying:
Set up a proportion, as follows:
Solve for
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