Question

Sandy mixed together 9 gallons of one brand of juice and 8 gallons of a second brand of juice, which contains 48 percent real fruit juice. Find the percent of real fruit juice in the first brand if the mixture contained 30 percent real fruit juice. Which of the following equations could be used to solve this?

Group of answer choices

a(9)+48(8)17=0.30100

a(9)+0.48(8)17=30100

a(9)+0.48(8)a+0.48=30100

a(9)+0.48(8)17=30

Answer 1

14 % pure juice comes from first brand

Step-by-step explanation:

Mixture:

17 gal 30% contains: 17x 30% = 5.10 gal pure juice

Second brand:

8 gal 48% contains: 8x40% = 3.84 gal pure juice

5.10 − 3.84 = 1.26 gal

1.26 gal is coming from 9 gal of first brand

The percentage of first brand is:

(1.26/9) x100 = 14 % pure juice.