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GED Math : Proportions and Percentages

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Example Question #81 : Proportions And Percentages

$\textup{19 is 95}\%\textup{ of what number?}$

Possible Answers:

Correct answer:

Explanation:

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

$\frac{\textup{Part}}{\textup{Whole}} = \frac{\textup{Pct}}{100}$

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

$\frac{19 }{N} = \frac{95}{100}$

Set the cross-products equal:

$N \cdot 95 = 19 \cdot 100$

$N \cdot 95 = 1,9 00$

Divide both sides by 95 to solve for :

$N \cdot 95\div 95 = 1,900 \div 95$

N = 20 ,

the correct response.

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Example Question #82 : Proportions And Percentages

9 is what percent of 3?

Possible Answers:

$66 \frac{2}{3}\%$

$300 \%$

$33 \frac{1}{3} \%$

$200 \%$

Correct answer:

$300 \%$

Explanation:

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

$p = \frac{P}{W} \times 100 \%$ .

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

$p= \frac{9}{3} \times 100 \% = 3 \times 100 \% = 300 \%$ ,

the correct response.

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Example Question #81 : Proportions And Percentages

What is 9% of 3?

Possible Answers:

$\frac{27}{100}$

$2\frac{7}{10}$

$\frac{1}{30}$

$\frac{1}{3}$

Correct answer:

$\frac{27}{100}$

Explanation:

$9 \% = \frac{9}{100}$ , so 9% 0f 3 is equal to

$\frac{9}{100} \times 3 = \frac{9}{100} \times \frac{3}{1} = \frac{27}{100}$ ,

the correct response.

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Example Question #84 : Proportions And Percentages

In January, Sophia sold $\$561.33$ worth of goods at her store. In February, she sold $\$335.09$ worth of goods. What is the percent decrease from January to February?

Possible Answers:

$51.09\%$

$33.77\%$

$67.52\%$

$40.30\%$

Correct answer:

$40.30\%$

Explanation:

Recall how to find the percent change for two values:

$\text{Percent Change}=\left |\frac{\text{New value-Old value}}{\text{Old value}} \right |\times 100\%$

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:

$\text{Percent Change}=\left |\frac{335.09-561.33}{561.33} \right |\times 100\%=40.30\%$

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Example Question #85 : Proportions And Percentages

Among other things, a batch of cookies contains cups of flower to every 0.5 cups of oats and 0.75 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:

$6\;\textup{cups}$

$25.5\;\textup{cups}$

$3\;\textup{cups}$

$17\;\textup{cups}$

$4.25\;\textup{cups}$

Correct answer:

$6\;\textup{cups}$

Explanation:

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

$3+0.5+0.75=4.25\;\textup{cups}$

This lets you set up a proportion:

$\frac{4.25\;\textup{cups total}}{34\;\textup{cups total}}=\frac{0.75\;\textup{cups prune slices}}{P\;\textup{cups prune slices}}$

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

$4.25P=34\cdot0.75$

4.25P=25.5

Then, just divide by 4.25 :

$\frac{4.25P}{4.25}=\frac{25.5}{4.25}=6$

The entire recipe contains 6 cups of prune slices.

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Example Question #86 : Proportions And Percentages

In a sequence of numbers, the first value is 155 . Every number after that is larger than the one that comes before it. What is the 144 th element in the sequence?

Possible Answers:

2448

2431

Cannot be computed from the information provided

2586

2603

Correct answer:

2586

Explanation:

To imagine your sequence, think of a few values:

155

155 + 17=172

155 + 17+17=199

And so forth...

In the second element, you add one value of seventeen. In the third, you add two. This means that in the 144 th, you will add a total of 143 seventeens; therefore, you could write your value as:

$155+143\cdot17=2586$

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GED Math : Proportions and Percentages

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #81 : Proportions And Percentages

Example Question #82 : Proportions And Percentages

Example Question #81 : Proportions And Percentages

Example Question #84 : Proportions And Percentages

Example Question #85 : Proportions And Percentages

Example Question #86 : Proportions And Percentages

All GED Math Resources

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