Whole and Part - Algebra
Card 0 of 639
What number is 25% of 80?
What number is 25% of 80?
To solve this problem, we set up a proportion. We are looking for the number which is 25% of 80, thus we set up 25/100 = x/80. We set up this proportion so that the "wholes" are on the same side of the fraction. Then we simplify the left side (since 25/100 = 1/4) to make our arithmetic a bit easier. We now have 1/4 = x/80. Cross multiplying, we get 80 = 4x. Dividing both sides by 4, we get x = 20.
25% = 25/100
To solve this problem, we set up a proportion. We are looking for the number which is 25% of 80, thus we set up 25/100 = x/80. We set up this proportion so that the "wholes" are on the same side of the fraction. Then we simplify the left side (since 25/100 = 1/4) to make our arithmetic a bit easier. We now have 1/4 = x/80. Cross multiplying, we get 80 = 4x. Dividing both sides by 4, we get x = 20.
25% = 25/100
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Julie made 500 handbags last year. She gave 15 away and sold 185. What percentage of the 500 handbags crafted does she still have in her inventory?
Julie made 500 handbags last year. She gave 15 away and sold 185. What percentage of the 500 handbags crafted does she still have in her inventory?
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14% of 50 is _____?
14% of 50 is _____?
Divide numerator and denominator by 2 and you get 
, so 7 is 14% of 50.
Divide numerator and denominator by 2 and you get
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Wendy and Bob are cleaning their house at the same speed. Working together, they can clean the house in 8 hours. What percentage of the house can Wendy clean in 4 hours if she is cleaning by herself?
Wendy and Bob are cleaning their house at the same speed. Working together, they can clean the house in 8 hours. What percentage of the house can Wendy clean in 4 hours if she is cleaning by herself?
It takes Bob and Wendy 8 hours to clean the entire house, for a total of 16 man-hours. This means that one hour of cleaning by one person will clean 
of the house, or 6.25%. Thus, Wendy can clean 25% of the house by herself in 4 hours.
It takes Bob and Wendy 8 hours to clean the entire house, for a total of 16 man-hours. This means that one hour of cleaning by one person will clean
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What is 35% of 200?
What is 35% of 200?
To find 35% of 200, we just need to multiply
This gives us our answer, 70. Alternatively, we could realize instinctively that 35% of 100 is 35, and then double it to get the same answer.
To find 35% of 200, we just need to multiply
This gives us our answer, 70. Alternatively, we could realize instinctively that 35% of 100 is 35, and then double it to get the same answer.
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What is 64% of 86?
What is 64% of 86?
First, write 64% as a decimal. Just move the decimal point of 64% two digits to the left and then eliminate the % so that we get 0.64. Thus, 64%=0.64. Then multiply that 0.64 by 86
So 55 is 64% of 86.
First, write 64% as a decimal. Just move the decimal point of 64% two digits to the left and then eliminate the % so that we get 0.64. Thus, 64%=0.64. Then multiply that 0.64 by 86
So 55 is 64% of 86.
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What is 
of 
, rounded to the nearest tenth?
What is
Convert 34% to a decimal: 0.34
Multiply 0.34 by 492: 167.28
Round to the nearest tenth: 167.3
Convert 34% to a decimal: 0.34
Multiply 0.34 by 492: 167.28
Round to the nearest tenth: 167.3
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What is 
of 
?
What is
To find 30 percent of a number, we have to first convert the percentage into a decimal. We can do this by dividing the percentage by one hundred.
Doing so we get,
Now we will multiply 120 number by 0.30.
To find 30 percent of a number, we have to first convert the percentage into a decimal. We can do this by dividing the percentage by one hundred.
Doing so we get,
Now we will multiply 120 number by 0.30.
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What is 
of 
?
What is
To find 60 percent of something, we first need to convert 60 percent into a decimal. We do this by dividing 60 percent by one hundred.
This results in the decimal,
Now we will mutiply 300 by 0.60.
To find 60 percent of something, we first need to convert 60 percent into a decimal. We do this by dividing 60 percent by one hundred.
This results in the decimal,
Now we will mutiply 300 by 0.60.
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Choose the correct answer.
What is 
of 
.
Choose the correct answer.
What is
To find a part of the whole number, you multiply the percentage in decimal form against the whole number. The first step is to convert the percentage into a decimal, 
to 
. Then multiply the decimal against the whole number, 
.
To find a part of the whole number, you multiply the percentage in decimal form against the whole number. The first step is to convert the percentage into a decimal,
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Select the correct answer.
What is 
of 
.
Select the correct answer.
What is
To find the part of the whole, first convert the percentage to a decimal, 
to 
, then multiply the decimal against the whole number given, 
, resulting in 
. Alternatively, we know that 
is equal to 
, so we could divide the whole number, 
, into four equal parts, which would be 
. Since we need 
(three quarters), we multiply 
, resulting in 
.
To find the part of the whole, first convert the percentage to a decimal,
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If 
of the student body is female, what is the percentage of males?
If
If 
of the student body is female, this is equivalent to 
. Since 
is the whole, 
. Thus 
is not female.
Alternatively, if 
is not male, then the rest must be male, so 
. Then we can convert that decimal to a percentage, 
.
If
Alternatively, if
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Granada High School has a graduating class of 
seniors. If 
of the high school graduates scored above an 
on their final exam, and 
of the graduated scored above a 
, how many students scored 
or less on their final?
Granada High School has a graduating class of
Granada High School has a graduating class of 700 seniors. If 
of the high school graduates scored above an 
on their final exam, and 
of the graduated scored above a 
, how many students scored 
or less on their final?
First, we must find the percentage of seniors that scored below a 
. To do this we subtract the 
and 
of students who scored 
and above from 
. This leaves us with a remaining 
of graduates who did not score above a 
Next, we find out exactly how many students equal 
of the graduating class. To do this we multiply the percentage in decimal form, 
, against the total number of students, 
.
So 
.
So, 
of the graduating class did not score above a 
Granada High School has a graduating class of 700 seniors. If
First, we must find the percentage of seniors that scored below a
So
So,
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What is 
of 
?
What is
To find 3% of anything, convert it into a decimal. 3% as a decimal is 0.03.
Then we can multiply 150 by 0.03 to get an answer of 4.5.
We could also get this in another way.
3% is just 
.
150 is 
, and 
.
To find 3% of anything, convert it into a decimal. 3% as a decimal is 0.03.
Then we can multiply 150 by 0.03 to get an answer of 4.5.
We could also get this in another way.
3% is just
150 is
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What is 
of 
?
What is
To find 15% of anything, just multiply by 0.15, its decimal equivalent.
In this case, 327 times 0.15 is 49.05.
To find 15% of anything, just multiply by 0.15, its decimal equivalent.
In this case, 327 times 0.15 is 49.05.
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What is 
of 
?
What is
To find the part from the whole given a percentage, we multiply the whole by the decimal equivalent of the percentage. To find this, we divide the percentage by one-hundred:
Therefore, 
of 
is 
To find the part from the whole given a percentage, we multiply the whole by the decimal equivalent of the percentage. To find this, we divide the percentage by one-hundred:
Therefore,
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As of the middle of August, Magnus had saved 
of his total travel budget. If Magnus has a goal of saving 
, how much does he have left to save?
As of the middle of August, Magnus had saved
As of the middle of August, Magnus had saved 
of his total travel budget. If Magnus has a goal of saving 
, how much does he have left to save?
There are two ways to go about doing this, and both of them require you to look for what is actually being asked. The question asks you for how much he has left to save. This means that we are not looking for 
, we are looking for 
of the savings goal. So, the simpler way to solve this is to do the following:
Note, we also could have found 
of 
and then subtracted that from 
. Using this method would have yielded the exact same answer as the other method.
As of the middle of August, Magnus had saved
There are two ways to go about doing this, and both of them require you to look for what is actually being asked. The question asks you for how much he has left to save. This means that we are not looking for
Note, we also could have found
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Oscar calculated that 35% of the miles he drives in his car are for recreation and the remaining 65% are miles from commuting back and forth from work. If Oscar drives 4002 miles in a given week, how many miles will he have driven commuting to work and back?
Oscar calculated that 35% of the miles he drives in his car are for recreation and the remaining 65% are miles from commuting back and forth from work. If Oscar drives 4002 miles in a given week, how many miles will he have driven commuting to work and back?
If 
of the miles Oscar drives being commuter miles, we can determine how many miles that is by multiplying the total number of miles driven by 
:
If
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The human body is roughly 
water. If Oscar weighs 
, what is his dry weight (weight without water)?
The human body is roughly
Since 
of the human body is water and we are looking for the dry weight, we want to find 
of 
:
Since
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44 is what percent of 80?
44 is what percent of 80?
We know that 80 multiplied by some percentage, equals 44. Because a percent is number, divided by 100, we can represent this problem mathematically, as follows:
To get 
by itself, multiply both sides of the equation by 80. This gives us:
Then, multiply both sides of the equation by 100. This gives us:
Simplify.
Thus, 44 is 55% of 80.
We know that 80 multiplied by some percentage, equals 44. Because a percent is number, divided by 100, we can represent this problem mathematically, as follows:
To get
Then, multiply both sides of the equation by 100. This gives us:
Simplify.
Thus, 44 is 55% of 80.
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