write a linear system that models the situation

Question

Dana decides to paint the ceiling and the walls of a bedroom. She spends $102 on 2 gallons of paint for the ceiling and 3 gallons of paint for the walls. Then she decides to paint the ceiling and walls of the bathroom using the same kind of paint. She spends $63 of 1 gallon of paint for the ceiling and 2 gallons of paint for the walls.

Answer 1

c represents the cost of a gallon of ceiling paint

w represents the cost of a gallon of wall paint

 

2c + 3w = 102

1c + 2w + 63