Question

One canned juice drink is 20% orange juice, another is 10% orange juice. How many liters of each should be mixed together in order to get 10L that is 11% orangeNice?

Answer 1

Let:

x = Liters of 20% orange juice

y = Liters of 10% orange juice

z = Liters of 11% orange juice

so:

`0.2x+0.1y=10\cdot0.11`

so:

`\begin{gathered} 0.2x+0.1y=1.1 \\ y=10-x \\ so\colon \\ 0.2x+0.1(10-x)=1.1 \\ 0.2x+1-0.1x=1.1 \\ 0.1x=0.1 \\ x=(0.1)/(0.1) \\ x=1 \\ so\colon \\ y=10-1=9 \end{gathered}`

Answer:

1 liters of 20% orange juice

9 liters of 10% orange juice