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*(49)/(100)=2.45\text{ gal pure juice}`

From brand B,

`2*(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,

`(1.17)/(3)*100=39`