Question

Javier is making a recipe that requires 160 milliliters of 40% pure fruit juice. He has a 25% pure fruit juice solution and a 50% pure fruit juice solution.

How many milliliters of each solution should he mix to obtain the needed solution?

Answer 1

64 milliliters of 25% juice

96 milliliters of 50% juice.

Explanation:

Answer 2

96 mL of the 50% juice

64 mL of the 25% juice

Explanation:

Declaration

Let the number of mL of 25% juice = x

Let the number of mL of 50% juice = y

Equations

25/100 * x + 50/100 y = 40/100 * 160 Combine

x + y = 160 mL

Solution

0.25x + 0.5y = 0.4 * 160

0.25x +0.5y = 64 Multiply this equation by 4

0.25*4x + 0.5*4y = 64*4 Combine

x + 2y = 256 Put the first equation underneath and subtract

x + 2y = 256

x + y = 160 Subtract

y = 96 mL of 50% fruit juice

x + y = 160

x + 96 = 160 Subtract 96 from both sides.

x + 96 - 96 = 160-96

x = 64 mL of the 25% fruit juice.