Question

A paint that contains 26 % green dye is mixed with a paint that contains 14 % green dye. How many gallons of each must be used to make 100 gal of paint that is 22 % green dye?

Answer 1

66and2/3 gallons of 26% and 33and1/3 of 14%

Explanation:

x is the gallons of 26% green dye and y is the gallons of tve 14% one. we know that the totall gallons of dye in the ens are 100=>x+y=100=>x=100-y. 26%*x+14%*y=22%*100

13/50*x+7/50*(100-x)=22 6/50x+14=22 6×=400 x=200/3=66and2/3 =>y=100-200/3=100/3=33and1/3