Algebra 1 : How to find the part from the whole with percentage

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #11 : How To Find The Part From The Whole With Percentage

What is  of ?

Possible Answers:

Correct answer:

Explanation:

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.

Example Question #12 : How To Find The Part From The Whole With Percentage

What is  of ?

Possible Answers:

Correct answer:

Explanation:

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.

Example Question #13 : How To Find The Part From The Whole With Percentage

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? 

Possible Answers:

Correct answer:

Explanation:

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 

Example Question #3201 : Algebra 1

What is  of ?

Possible Answers:

Correct answer:

Explanation:

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 .

Example Question #3201 : Algebra 1

What is  of ?

Possible Answers:

Correct answer:

Explanation:

To find 15% of anything, just multiply by 0.15, its decimal equivalent.

In this case, 327 times 0.15 is 49.05.

Example Question #13 : How To Find The Part From The Whole With Percentage

What is  of  ?

Possible Answers:

Correct answer:

Explanation:

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 

Example Question #3202 : Algebra 1

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?

Possible Answers:

Correct answer:

Explanation:

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. 

Example Question #45 : Whole And Part

The human body is roughly  water. If Oscar weighs , what is his dry weight (weight without water)?

Possible Answers:

Correct answer:

Explanation:

Since  of the human body is water and we are looking for the dry weight, we want to find  of :

Example Question #3202 : Algebra 1

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? 

Possible Answers:

Correct answer:

Explanation:

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 :

Example Question #3203 : Algebra 1

44 is what percent of 80?

Possible Answers:

Correct answer:

Explanation:

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.

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