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%

Respuesta :

Mixture

5 gal 48% fruit juice contains

[tex]5\times\frac{49}{100}=2.45\text{ gal pure juice}[/tex]

From brand B,

[tex]2\times\frac{64}{100}=1.28\text{ gal juice}[/tex]

Therefore, pure juice from brand A is,

[tex]\begin{gathered} 2.45-1.28=1.17 \\ \end{gathered}[/tex]

therefore percentage is,

[tex]\frac{1.17}{3}\times100=39[/tex]