GED Math : Proportions and Percentages

Study concepts, example questions & explanations for GED Math

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Example Questions

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Example Question #441 : Ged Math

Possible Answers:

Correct answer:

Explanation:

The part, the whole, and the percent of a percentage problem can be related by the proportion statement

Set  equal to the whole, and 19 and 95 equal to the part and the percent, respectively:

Set the cross-products equal:

Divide both sides by 95 to solve for :

,

the correct response.

Example Question #442 : Ged Math

9 is what percent of 3?

Possible Answers:

Correct answer:

Explanation:

If we let and be a part and a whole of a percent problem, then the that is of is

.

In this problem, 9 is the part and 3 is the whole. Thus,

,

the correct response.

Example Question #443 : Ged Math

What is 9% of 3?

Possible Answers:

Correct answer:

Explanation:

, so 9% 0f 3 is equal to

,

the correct response.

Example Question #444 : Ged Math

In January, Sophia sold  worth of goods at her store. In February, she sold  worth of goods. What is the percent decrease from January to February?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the percent change for two values:

The new value in this case would be the value from February, and the old value would be the value from January.

Plug in the correct values to find the percent change:

Example Question #445 : Ged Math

Among other things, a batch of cookies contains  cups of flower to every  cups of oats and  cups of prune slices. If the batch contains a total of  cups, how many cups of prune slices are there in the batch?

Possible Answers:

Correct answer:

Explanation:

Based on the information provided, you know that a "standard" batch could be represented as:

This lets you set up a proportion:

The variable  represents the number of cups of prunes in the full batch. Begin solving by cross-multiplying:

Then, just divide by :

The entire recipe contains 6 cups of prune slices.

Example Question #446 : Ged Math

In a sequence of numbers, the first value is .  Every number after that is  larger than the one that comes before it.  What is the th element in the sequence?

Possible Answers:

Cannot be computed from the information provided

Correct answer:

Explanation:

To imagine your sequence, think of a few values:

And so forth...

In the second element, you add one value of seventeen. In the third, you add two. This means that in the th, you will add a total of  seventeens; therefore, you could write your value as:

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