Question

A baker needs 3/5 cup of water 2/3 cup flour using this ratio how much flour is needed for 1/3 cup water?

10/27 cup

3/10 cup

2/15 cup

1/36 cup

Answer 1

Answer: 10/27 cups flour.

Explanation:

Compare fractions 3/5 and 1/3:

`(3)/(5)=(3 * 3)/(5 * 3) =(9)/(15) \\\\ (1)/(3)=(1 * 5)/(3 * 5) =(3)/(15)\\\\(3)/(15) < (9)/(15)`

1/3 is less than 3/5 because 3/15 is less than 9/15.

Find how many times 1/3 is less than 3/5:

`(3)/(5) / (1)/(3) =(3)/(5) * (3)/(1)=(9)/(5)`

This means that flour should also be taken 9/5 times less:

`(2)/(3) / (9)/(5) =(2)/(3) * (5)/(9) =(10)/(27)`

Answer 2

10/27 cups

Explanation:

y = how much flour is needed

set up proportion of water to flour equals water to flour

`(3/5)/(2/3)` =
`(1/3)/(y)`

cross-multiply: 3/5 y = 2/9

multiply each side by the reciprocal of 3/5

5/3 · (3/5)y = 2/9 · (5/3)

y = 10/27