Question

A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla. 1. How many batches can you make with 15 cups of flour and 6 teaspoons of vanilla? 2. How much flour and vanilla would you need for 5 batches of cookies? I need help please I am stuck

Answer 1

Given :

A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.

To Find :

1. How many batches can you make with 15 cups of flour and 6 teaspoons of vanilla?

2. How much flour and vanilla would you need for 5 batches of cookies?

Solution :

Let, 1 cup of flour contains x gm of flour.

Let, 2 teaspoons of vanilla contains y gm of vanilla.

So, 1 batch requires :

1 batch = 5x + 2y

It is given that 15 cups of flour and 6 teaspoons of vanilla are their so batches are :

x = 15x + 6y = 3( 5x + 2y ) = 3 batches.

Now,

For 5 batches of cookies 5×5 = 25 cups of flour and 5×2 = 10 teaspoons of vanilla.

Hence, this is the required solution.