SOLUTION: 1 (solving systems of equations)-how many gallons of a 5% solution should be mixed with 30 gallons of a 10% solution to obtain a mixture that is 8%?

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In words:
(gallons of stuff in 5%) + (gallons of stuff in 10%) / total mixture = 8%
Let the gallons of the 5% solution needed =

Multiply both sides by



gal
20 gallons of the 5% solution are needed
check answer:





OK