Don L. answered • 06/17/19

Fifteen years teaching and tutoring basic math skills and algebra

Hi Andrea, set up a table with the information you know. Let x represent the amount of 65% juice needed.

Product Amount Decimal Total

--------------------------------------------------------------------------

65% x .65 .65x

90% 40 - x .90 .90 * (40 - x)

80% 40 .80 .80 * 40

The amount of 65% juice plus the amount of 90% juice must equal the amount of 80% juice.

Equation to solve:

.65x + .90 * (40 - x) = .80 * 40

.65x + 36 - .90x = 32

Combine terms:

.25x = 4

x = 16

The company needs to use 16 pints of 65% juice combined with 40 - 16, or 24 pints of 90% juice to make 40 pints of 80% juice.

Questions?