word problem royal fruit

Question

The Royal Fruit Company produces two types of fruit drinks. The first type is 65%

 pure fruit juice, and the second type is 90%

 pure fruit juice. The company is attempting to produce a fruit drink that contains 80%

 pure fruit juice. How many pints of each of the two existing types of drink must be used to make 40

 pints of a mixture that is 80%

 pure fruit juice?

Answer 1

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?