one canned juice drink is 30% ornage juice, another is 10% orange juice. how many liter of ea. should be mixed together in order to get 20L that is 24% of orange juice?
We have two quantities of juice, x and y, which, added together, produce 20L of juice.
0.3x and 0.1y are orange juice. Added together, they produce 0.24 of the 20L as orange juice.
x + y = 20
x = 20 - y << we'll substitute that into the next equation
0.3x + 0.1y = 0.24(20)
0.3x + 0.1y = 4.8
0.3(20 - y) + 0.1y = 4.8
6 - 0.3y + 0.1y = 4.8
6 - 0.2y = 4.8
-0.2y = -1.2
y = 6
x + y = 20
x + 6 = 20
x = 14
Check the answer.
0.3x + 0.1y = 0.24(20)
0.3(14) + 0.1(6) = 0.24(20)
4.2 + 0.6 = 4.8
4.8 = 4.8
It takes 14L of the 30% drink and 6L of the 10% drink
to produce 20L of a 24% drink