A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 80 gallons of a mixture that contains 75% pure antifreeze, how many gallons of each brand of antifreeze must be used?

skynugurq7

skynugurq7

Answered question

2022-07-15

A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 80 gallons of a mixture that contains 75% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answer & Explanation

Leslie Rollins

Leslie Rollins

Beginner2022-07-16Added 25 answers

Step 1
let x be amount of 70% pure antifreeze
x be amount of 95% pure atnifreeze
x + y = 80 ( 1 )
0.70 x + 0.95 y = 0.75 ( x + y )
0.70 x + 0.95 y = 0.75 x + 0.75 y
Step 2
0.05 x 0.20 y = 0
0.05 x 0.20 y = 0 ( 2 )
x = 64 , y = 16
first brand 64 gallons
second brand 16 gallons

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