Answer:
Step-by-step explanation:
Each of the 2-gallon mixes is made of 8 "parts" of paint, so each "part" is 2/8 gallons = 1/4 gallon = 1 quart. We can let <em>b</em> and <em>y</em> represent the costs of 1 quart of blue and yellow paint, respectively.
Then the cost for <u>2 gallons</u> is ...
3b + 5y = 58 . . . lime green
6b +2y = 64 . . . ocean blue
__
Subtracting the second equation from twice the first gives ...
2(3b +5y) -(6b +2y) = 2(58) -(64)
8y = 52
y = 6.5
From the first equation, ...
3b = 58 -5y = 58 -5·6.5 = 25.5
b = 25.5/3 = 8.5
The cost of 1 quart of blue paint is $8.50; the cost of 1 quart of yellow paint is $6.50.
