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You purchased 8 gal of paint and 3 brushes for 152.5. the next day, you purchased 6 gal of paint and 2 brushes for 113. how much does each gallon of paint and each brush

Respuesta :

let the price of paint be x and the price of brush be y

8x + 3y = 152.5 ------------ (1)
6x + 2y = 113 --------------- (2)

(1) x 2 :
16x + 6y =305 -------------(1a)

(2) x (3) :
18x + 6y = 339 -------------(2a)

(2a) - (1a) :
2x = 34
x = 17 ---------- sub into (2)
6(17) + 2y = 113
102 + 2y = 113
2y = 113 - 102
2y = 11
y = 5.5


x = $17, y = $5.50

Each gallon of paint costs $17 and each brush costs $5.50