Question

A recipe says that 1 and 3/4 cups of baking soda are needed to make one batch of a homemade cleaning product. How many total cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product? Your answer:

Answer 1

Answer:

3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product

Step-by-step explanation:

This question can be solved by a rule of three.

A recipe says that 1 and 3/4 cups of baking soda are needed to make one batch of a homemade cleaning product.

1 + 3/4 cups = 1 + 0.75 = 1.75 cups for one batch.

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

2 and 1/2 batches is 2 + 0.5 = 2.5 batches.

1.75 cups for one batch. How many cups for 2.5 batches? So

1 batch - 1.5 cups

2.5 batches - x cups

c = 2.5*1.5 = 3.75

3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product

Answer 2

Answer: 4 and 3/8 cups of baking soda

Step-by-step explanation:

We know that (1 + 3/4) cups of baking soda are needed to make 1 batch.

Then, fot 2 and 1/2 batches, we will need 2 and 1/2 times the amount of baking soda that we need for only one batch, this is:

(2 + 1/2)*(1 + 3/4) = 2*1 + (1/2)*1 + 2*(3/4) + (1/2)*(3/4) = 2 + 1/2 + 3/2 + 3/8

= 2 + 4/2 + 3/8 = 2 + 2 + 3/8 = 4 + 3/8

So for making 2 and 1/2 batches of the product, the amount of baking soda needed is 4 and 3/8 cups.