Question

A recipe for cookies calls for 2/3 of a cup of sugar per batch. Elena used 5 1/3 cups of sugar to make multiple batch of cookies. How many batches did she make.

Answer 1

Answer: 8 batches

Step-by-step explanation:

To get the number of batches she made, we can just use proportion to solve it. But first, we need to convert 5 1/3 to improper fraction

5 1/3 = 16/3

Then we can now use the proportion to solve

2/3 cups = 1 batch

16/3 cups = x (note:5 1/3=16/3)

cross multiply

2/3 × x = 16 /3

2x/ 3 = 16/3

we need to make x the subject of the formula, to do that we will multiply each side of the equation by 3/2

2/3 × 3/2 x = 16/3 × 3/2

6x /6 = 48 / 6

x = 8

Therefore she made 8 batches of cookies.

Answer 2

Using the principle of proportional relationship, the number of batches made is 8

Setting up the proportional relationship thus :

2/3 cups = 1 batch

16/3 cups = x batches

Cross multiply

(2/3)x = 16/3

2x/3 = 16/3

Cross multiply

6x = 48

Divide both sides by 6

x = 8

Hence, 8 batches can be made

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