Answer:
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.