# Yoko spent \$6 on fruit at the grocery store. She spent a total \$40 of at the store. What percentage of the total did she spend on fruit?

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• Yoko spent \$6 on fruit at the grocery store.

She spent a total of \$40 at the store.

She spent 15% of the total on fruit.

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• Portion (actual number) / Total (actual number) = Portion (percent) / Total (percent)

The Total (percent) is always 100.

6/40 = x / 100

Cross multiply:  40x = 6(100)

x = 15, so 15%

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• (6/40) x 100% = 15%

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• Anonymous
4 weeks ago

Sweet mother of god

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• The fraction (6/40) expressed as a percentage = 100(6/40)% = (60/4)% = 15%, Note:

% is shorthand for 'divided by 100'.

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• Percent = Portion divided by the Base. So you base is how much she spent at the store. And the portion is how much she spent on just fruit. When you do this division, you'll get a decimal. To convert the decimal into a percent, you'd multiply by 100.

Source(s): I've taught math plus many other subjects. And have helped out lots of students to help them better understand and learn.
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• You can write questions of this type in "natural language," where the concept of "What percent" is written as p/100

Here is what you really want to know:

\$6 . . is . . "what" percent . . of . . \$40?

6 . . . = . . . . . p/100 . . . . . . .x . . . .40

6 = p/100 x 40

- same as -

6 = 40p /100

Solve for p, already defined as "the percent that 6 is out of 40"

1) Reduce the fraction to lowest terms

After you have reduced it, you will have this:

6 = 2p/5

2) Clear the fraction by multiplying both sides by 5 and letting the denominator cancel

30 = 2p

3) Divide both sides by 2 to isolate p, already defined as "the percent that 6 is out of 40

15 = p

This result means that \$6 represents15 percent of \$40.

Yoko spent 15% of her money on fruit.

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• Yoko spent \$6 on fruit at the grocery store.

She spent a total of \$40 at the store.

She spent on fruit 15% of the money spent.

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• divide what she spent on fruit by the total and you'll have your answer.

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