Question

Ana mixed together 3 gallons of Brand A orange juice and 2 gallons of Brand B orange juice. Brand B orange juice contains 64% fruit juice. What is the percent of fruit juice in Brand A if the mixture contains 49% fruit juice? A) 36% B) 39% C 51% D 57%

Answer 1

Mixture

5 gal 48% fruit juice contains

$5\times\frac{49}{100}=2.45\text{ gal pure juice}$

From brand B,

$2\times\frac{64}{100}=1.28\text{ gal juice}$

Therefore, pure juice from brand A is,

$\begin{gathered} 2.45-1.28=1.17 \\ \end{gathered}$

therefore percentage is,

$\frac{1.17}{3}\times100=39$