Question

A baker has a bag of flour that is 11% whole wheat and a bag of flour that is 63% whole wheat. How many cups of each type does the baker need to make 12 cups of a flour mixture that is 50% whole wheat?

Answer 1

use three cups of flour that is 11% whole wheat and 9 cups of 63%

Answer 2

Answer: There are 3 cups of first type of whole wheat and 9 cups of second type of whole wheat.

Explanation:

Since we have given that

Concentration of flour in first bag of flour = 11%

Concentration of flour in second bag of flour = 63%

Flour mixture contains 50% of whole wheat

So, we will use "Mixture and Allegation"

Ist bag of flour IInd bag of flour

11 63

50

----------------------------------------

63-50 : 50-11

13 : 39

1 : 3

Since there are 12 cups of a flour mixture .

So, Number of cups of first type of whole wheat is given by

`(1)/(4)* 12\\\\=3`

Number of cups of second type of whole wheat is given by

`(3)/(4)* 12\\\\=3* 3\\\\=9`

Hence, there are 3 cups of first type of whole wheat and 9 cups of second type of whole wheat.