Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.

Jeff knows that 1 cup of that particular vanilla powder has a mass of 128 grams.

He added two over three of a cup of vanilla powder to the flour.

Should Jeff add more vanilla powder to make the exact recipe, or did he go over and by what amount?

A He needs to add one over four of a cup

B He went over by five over 12 of a cup

C He went over by one over four of a cup

D He needs to add five over 12 of a cup

Question

Answered

Verified Answer :

frika frika · Answer 1 · 2018-09-20T14:05:51-04:00

If 1 cup of that particular vanilla powder has a mass of 128 grams, then \(\dfrac{2}{3}\) of a cup of vanilla powder has a mass of

\(\dfrac{2}{3} \cdot 128=\dfrac{256}{3}=85\dfrac{1}{3}\) grams.

Since

\(85\dfrac{1}{3}-32=53\dfrac{1}{3}\) grams and \(\dfrac{5}{12}\) of a cup of vanilla powder is

\(\dfrac{5}{12}\cdot 128=\dfrac{5\cdot 128}{12}=\dfrac{5\cdot 32}{3}=\dfrac{160}{3}=53\dfrac{1}{3},\)

then correct answer is that he went over by \(\dfrac{5}{12}\) of a cup.

Answer: correct choice is B.

jayilych4real jayilych4real · Answer 2 · 2022-07-07T05:56:57-04:00

Should Jeff add more vanilla powder to make the exact recipe, or did he go over and by what amount, B. He went over by five over 12 of a cup

Given that 1 cup= 128g

2/3 cup = 85.33g

Therefore, 85.33- 32= 53.33g

5/12 of a cup= 5/12 * 128

= 53.33

Therefore, the correct answer is option B because he went over by five over 12 of a cup.