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Sagot :
We have:
Let x = 15% apple juice
Let y = 5% apple juice
If you need 10% of 10L of apple juice or one liter of pure whole apple juice. This is:
[tex]x+y=10[/tex]One canned juice drink is 15% apple juice; another is 5% apple juice. This can be expressed by:
[tex]0.15x+0.05y=1[/tex]Then we solve the system of equations:
From equation 1
[tex]\begin{gathered} x+y-y=10-y \\ x=10-y \end{gathered}[/tex]Substitute x in the second equation:
[tex]\begin{gathered} 0.15(10-y)+0.05y=1 \\ Simplify \\ 1.5-0.15y+0.05y=1 \\ 1.5-0.1y=1 \\ solve\text{ for y} \\ 1.5-0.1y+-1.5=1-1.5 \\ -0.1y=-0.5 \\ \frac{-0.1y}{-0.1}=\frac{-0.5}{-0.1} \\ y=5 \end{gathered}[/tex]Next, substitute y in x:
[tex]x=10-5=5[/tex]Answer: We need 5L of each apple juice.
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