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How many gallons each of

15​%

alcohol and

10​%

alcohol should be mixed to obtain

5

gal of

12​%

​alcohol?

Gallons of

Solution

Percent

​(as a​ decimal)

Gallons of

Pure Alcohol

x

  

15​%=0.15

y

10​%=0.1

5

12​%=     

Question content area bottom

Part 1

How many gallons of

15​%

alcohol should be in the​ mixture?

2

gal

Part 2

How many gallons of

10​%

alcohol should be in the​ mixture?

3

gal

 Feb 7, 2022
 #1
avatar+1365 
+1

Make a system of equations: 

 

x + y = 5

15x+10y=60

 

x = 2 y = 3

 

So, 2 gallons of 15% alcohol and 3 gallons of 10% alcohol.

 Feb 7, 2022

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