In order to make a perfect berry blend for smoothies, Nicole is using a two different bags of mixed berries. One bag contains 40% strawberries and the other bag contains 25% strawberries.

Question

In order to make a perfect berry blend for smoothies, Nicole is using a two different bags of mixed berries. One bag contains 40% strawberries and the other bag contains 25% strawberries. How many ounces of each bag must Nicole use if she wishes to have 8 ounces of berries that contains 30% strawberries?

a) Draw a diagram and label or verbally describe:

b) equation#1 and #2

c) solution in a sentence

Answer 1

8(30) = x(40) + (8-x)(25)

240 = 40x + 200 -25x

15x = 40

x = 40/15 = 8/3 = 2 2/3 ounces of 40%

8-x = 5 1/3 ounces of 25%

mixed to get 8 ounces of 30%

25 is closer to 30 than 40 is, Twice as close

Twice as much of 25 is needed

5 1/3 = twice 2 2/3

16/3 = 2(8/3)