A recipe says that 1 3/4 cups of baking soda are needed to make 1 batch of a homemade cleaning product, as represented below. How many total cups of baking soda I needed to make 2 1/2 batches of the cleaning product?

4 3/8 cups of baking soda

Step-by-step explanation:

1 3/4 cups of baking soda are needed to make 1 batch of a homemade cleaning product,

Cups of baking soda : batches of homemade cleaning

1 3/4 cups : 1 batch

How many total cups of baking soda I needed to make 2 1/2 batches of the cleaning product?

Let x = total cups of baking soda needed

Cups of baking soda : batches of homemade cleaning

x cups : 2 1/2 batches

Equate the ratios

1 3/4 cups : 1 batch = x cups : 2 1/2 batches

7/4 ÷ 1 = x ÷ 5/2

7/4 × 1/1 = x * 2/5

7/4 = 2/5x

Divide both sides by 2/5

x = 7/4 ÷ 2/5

= 7/4 × 5/2

Cross product

x = 35/8

= 4 3/8 cups of baking soda

the correct answer is the second option