Question

How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?

Answer 1

Answer:

Step-by-step explanation:

each gallon 15% alcohol

and 5% alcohol

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Answer 2

Answer:

Step-by-step explanation:

Let x = Gallons of 15% alcohol

   y = gallons of 5% alcohol

x + y = 10 gallons

y = 10 - x

15% of x + 5% of y = 14% of 10 gallons

0.15x + 0.05y = 0.14 * 10

0.15x + 0.05 * ( 10 - x) = 1.4

0.15x + 0.05*10  - x * 0.05 = 1.4

0.15x  + 0.5 - 0.05x = 1.4  

Add like terms

0.10x + 0.5 = 1.4

Subtract 0.5 from both sides

0.10x = 1.4 - 0.5

0.10x = 0.9

Divide both sides by 0.10

x = 0.9/0.1

x = 9

x = 9 gallons

y = 1 gallons