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Jarod uses \(\dfrac{2}{3}\) of an ounce of vinegar in every 2 cups of sushi rice that he prepares. To prepare 7 cups of

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by BTGmoderatorLU » Sat Jul 31, 2021 1:20 pm

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Source: Manhattan Prep

Jarod uses \(\dfrac{2}{3}\) of an ounce of vinegar in every 2 cups of sushi rice he prepares. To prepare 7 cups of sushi rice in the same proportion, how many ounces of vinegar does Jarod need?

A. \(\dfrac{3}{2}\)

B. \(\dfrac{4}{3}\)

C. \(\dfrac{7}{3}\)

D. \(\dfrac{7}{2}\)

E. \(\dfrac{14}{3}\)

The OA is C
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Re: Jarod uses \(\dfrac{2}{3}\) of an ounce of vinegar in every 2 cups of sushi rice that he prepares. To prepare 7 cups

by Brent@GMATPrepNow » Sun Aug 01, 2021 5:11 am
BTGmoderatorLU wrote: ↑
Sat Jul 31, 2021 1:20 pm
 Source: Manhattan Prep

Jarod uses \(\dfrac{2}{3}\) of an ounce of vinegar in every 2 cups of sushi rice he prepares. To prepare 7 cups of sushi rice in the same proportion, how many ounces of vinegar does Jarod need?

A. \(\dfrac{3}{2}\)

B. \(\dfrac{4}{3}\)

C. \(\dfrac{7}{3}\)

D. \(\dfrac{7}{2}\)

E. \(\dfrac{14}{3}\)

The OA is C
We can solve this question using equivalent ratios

Here, we're comparing ounces of vinegar to cups of sushi rice
So our ratio is: (ounces of vinegar)/(ounces of vinegar)

Let x = the number of ounces of vinegar needed
We can write: (2/3)/2 = (x)/7
Cross multiply to get: (2/3)(7) = (2)(x)
Simplify: 14/3 = 2x
Divide both sides by 2 to get: 7/3 = x

Answer: C

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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