# Eduardo wants to make 17.1 fl. oz. of a 60% sugar solution by mixing together a 80% sugar solution and a 50% sugar solution. How much of each solution must he use?

Mar 6, 2016

5.7 fl. oz. of 80% sugar solution
11.4fl. oz. of 50% sugar solution

#### Explanation:

This can be solved through algebraic calculation:

1. Let $x$ the volume of 80% sugar solution

2. Let $17.1 - x$ the volume of 50% sugar solution

3. The desired mixture is 60% of 17.1 fl.oz sugar solution

4. Write down the algebraic equation as:
$0.80 \left(x\right) + 0.50 \left(17.1 - x\right) \left(0.50\right) = 0.60 \left(17.1\right)$

5. Do the algebraic calculation to find the value of $x$

6. $x = 5.7$ for 80% sugar solution

7. Therefore, to find the other volume; subtract $x = 5.7$ from $17.1 - x$; to get 11.4 fl. oz. 50% sugar solution.