Problema Solution

A sales associate at a paint store plans to mix Color A and Color B. The sales associate has exactly 32 units of blue dye and 54 units of red dye. Each gallon of color A requires 4 units of blue dye and 1 unit of red dye. Each gallon of color B requires 1 unit of blue and 6 units of red dye. Find the maximum number of gallons that can be mixed.

Answer provided by our tutors

max  x + y

4x + y = 32

x + 6y = 54

 

we get

x = 6  and y = 8

6 gallon of blue dye and 8 gallon of red dye