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A cake recipe uses a constant ratio

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A cake recipe uses a constant ratio

by BTGmoderatorDC » Thu Jan 25, 2018 5:30 am
A cake recipe uses a constant ratio of 2 teaspoons vanilla extract to 1 ounce chocolate. If the original recipe, which serves four people, is altered proportionally to yield a cake that serves six people, how many ounces of chocolate will be used in the larger cake?

(1) The original recipe calls for exactly five teaspoons of vanilla extract.

(2) If the original recipe were altered proportionally to yield a cake that serves eight people, ten teaspoons of vanilla extract would be used.

I am confused in it, how can i figure this out?

OA D
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Ratio solution

by DrMaths » Thu Jan 25, 2018 6:43 am
lheiannie07 wrote:A cake recipe uses a constant ratio of 2 teaspoons vanilla extract to 1 ounce chocolate. If the original recipe, which serves four people, is altered proportionally to yield a cake that serves six people, how many ounces of chocolate will be used in the larger cake?

(1) The original recipe calls for exactly five teaspoons of vanilla extract.

(2) If the original recipe were altered proportionally to yield a cake that serves eight people, ten teaspoons of vanilla extract would be used.

I am confused in it, how can i figure this out?

OA D
(1) SUFFICIENT because the information matches (1) above

Vanilla teaspoons: Chocolate ounces ratio2:1
Multiply all by 1.5 to get
5:2.5 (for 4 people)
Multiply by 1.5 to get

7.5:3.75 (for 6 people)
So chocolate = 3.75 ounces

(2) SUFFICIENT because the information is identical to part (1)
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