Question

A recipe calls for ( 2)/(3) cup of flour for every ( 1)/(4) cup of sugar. If you have ( 1)/(2) cup of flour, how much sugar do you need?

Answer 1

To find out how much sugar you need, you can set up a ratio using the given information. The recipe calls for 2/3 cup of flour for every 1/4 cup of sugar. If you have 1/2 cup of flour, you will need 3/16 cup of sugar.

Step-by-step explanation:

To find out how much sugar you need, you can set up a ratio using the given information. The recipe calls for 2/3 cup of flour for every 1/4 cup of sugar. If you have 1/2 cup of flour, you can set up the ratio as follows:

(2/3 cup flour) / (1/4 cup sugar) = (1/2 cup flour) / (x cup sugar)

Cross-multiplying, we get:

(2/3)(x) = (1/2)(1/4)

Simplifying, we have:

2x / 3 = 1 / 8

Cross-multiplying again, we get:

(3)(1) = (2x)(8)

Simplifying further, we have:

3 = 16x

Dividing both sides by 16, we get:

x = 3/16

So, you will need 3/16 cup of sugar.