Question 1043905
.
Please help:

One canned juice drink is 15% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 10L  that is 7% orange juice?
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<pre>
From the condition, you have this system of two equations in two unknowns

    x +     y = 10        (1)   (the total volume balance)
0.15x + 0.05y = 0.07*10   (2)   (the amount of the pure juice in 10 L of mixture)

or equivalently

  x +  y = 10             (1')   
15x + 5y = 70             (2')   
     
Solve it by any method, substitution or elimination.

<U>Answer</U>.  x = 2 L of the 15% juice;  y = 8 L of the 5% juice.
</pre>

On mixture word problems see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Mixture-problems.lesson>Mixture problems</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/More-Mixture-problems.lesson>More Mixture problems</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Solving-typical-mixture-problems.lesson>Solving typical word problems on mixtures for solutions</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Typical-word-problems-on-mixtures-from-the-archive.lesson>Typical word problems on mixtures from the archive</A>

in this site.