Problema Solution
Mr. Frank wants to mix yellow paint and blue paint to get 15 ounces of green paint. The shade of green he wants requires 2 parts yellow paint and 3 parts blue paint. How many ounces of yellow paint does he need for his mix?
Answer provided by our tutors
let
y = oz of yellow paint
b = oz of blue paint
Mr. Frank wants to mix yellow paint and blue paint to get 15 ounces of green paint
y + b = 15
The shade of green he wants requires 2 parts yellow paint and 3 parts blue paint
y : b = 2 : 3 cross-multiply
3y = 2b
by solving the system of equations
y + b = 15
3y = 2b
we find
y = 6 oz
b = 9 oz
click here to see the step by step solution of the system of equations
Mr.Frank needs 6 ounces of yellow paint for the mix.