Question

Jessica is baking a cake. The recipe says that she has to mix 96 grams of sugar into the flour. Jessica knows that 1 cup of this particular sugar has a mass of 128 grams. She added one over two of a cup of sugar to the flour. Should Jessica add more sugar to make the exact recipe, or did she go over and by what amount?

She went over by two over three of a cup.
She needs to add two over three of a cup.
She went over by one over four of a cup.
She needs to add one over four of a cup.

Answer 1

D. She needs to add one over four of a cup.

Explanation:

We are given that,

Jessica needs to mix 96 grams of sugar into the flour.

She knows that,

1 cup has 128 grams of sugar.

She added
`(1)/(2)` cup of sugar.

So,
`(1)/(2)` cup of sugar has
`128* (1)/(2)` = 64 grams of sugar.

Thus, the amount of sugar she needs to add = 96 - 64 = 32 grams

That is,
`(1)/(4)` cup of sugar needs to be added.

Hence, option D is correct.