One canned juice drink is 30​% orange​ juice; another is 10​% orange juice. How many liters of each should be mixed together in order to get 20 L that is 29​% orange​ juice?

Question

One canned juice drink is

30​%

orange​ juice; another is

10​%

orange juice. How many liters of each should be mixed together in order to get

20

L that is

29​%

orange​ juice?

Answer 1

30x + (20-x)10 = 20(29)

30x -10x = 20(29)- 20(10) = 20(19)

20x = 380

x = 19 L of 30%

20-x = 1 L of 10%

30 is within 1 of 29

10 is within 19 of 29

you need 19 times more of 30 than of 10

19L is 19 times 1L