Question

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 2/3= 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? (1 point) He needs to add 1/4= of a cup He went over by 5/12= of a cup He went over by 1/4= of a cup He needs to add 5/12= of a cup

Answer 1

He had to go over by 1/4 of a cup.
1 cup =128
1/4 of a cup =32 grams

Answer 2

Answer:

He went over by 5/12 of a cup

Step-by-step explanation:

Consider the provided information.

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 2/3= of a cup of vanilla powder to the flour.

$\frac{2}{3} \cdot 128=\frac{256}{3}=85\frac{1}{3}$grams.

That means he added $85\frac{1}{3}$ grams of vanilla but he needs to add only 32 grams of vanilla.

Now find how much he added more.

$85\frac{1}{3}-32=53\frac{1}{3}$ grams.

That means he added $53\frac{1}{3}$ grams more vanilla powder.

Lets find $53\frac{1}{3}$ is how much of a cup.

If we multiply $\frac{5}{12}$ with 128 we will get:

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

Hence, He went over by 5/12 of a cup