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Ber [7]
3 years ago
15

A house painter has 1 gallon of paint that is 35% yellow and another gallon that is 60% yellow. The painter needs a gallon of pa

int that is 45% yellow. How much of each color should the painter use?
Mathematics
1 answer:
Anna11 [10]3 years ago
7 0

Let a be the volume of the 35% yellow paint the painter will use, and b the volume of the 60% yellow paint.

The painter wants to end up with 1 gal of paint, so

a+b=1

Each gallon of 35% yellow paint a contributes 0.35 gal of yellow paint, while each gallon of 60% yellow paint b contributes 0.60 gal of yellow paint. The painter wants to end up with a 45% mixture, so that

0.35a+0.60b=0.45(a+b)=0.45

Solve the system and you get

a=0.6,b=0.4

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