One canned juice drink is 20% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 15 L that is 10% orange juice?
Question
Answer:
Let's call "x" and "y" the liters that we need:x= liters in 20%
y=liters in 5%
Then, we have the following equations:
1) x+y=15
2) 20x/100+5y/100=(10/100)(15) ⇒ 0.2x+0.05y=1.5
We clear "x" from the equation 1):
1) x=15-y
Now, we substitute "x" into the equation 2) to find "y":
0.2x+0.05y=1.5
0.2(15-y)+0.05y=1.5
3-0.2y+0.05y=1.5
3-0.15y=1.5
y=10
Now, we can substitute y=10 into the equation 1) to find the value of "x":
x+y=15
x=15-10
x=5
How many liters of each should be mixed together in order to get 15 L that is 10% orange juice?
5 liters of 20% orange juice and 10 liters of 5% orange juice
solved
general
10 months ago
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