Question

Gale makes two gallons of a punch solution that contains 25% orange juice. How many gallons of orange juice should gayle add to make the solution 40% orange juice

Answer 1

0.5 gallons

Explanation:

Let x represent the amount of orange juice (in gallons) Gayle must add to the mix. Then the total amount of orange in the mix is ...

0.25(2) +x = 0.40(2+x)

0.50 +x = 0.80 +0.40x . . . . eliminate parentheses

0.60x = 0.30 . . . . . . . . . . . . subtract 0.50+0.40x

x = 0.5 . . . . . . . . . . . . . . . . . divide by 0.60

Gayle should add 0.5 gallons of orange juice to make a 40% solution.