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in one day, Glovers, Inc. sold 50 pairs of gloves. Fleece gloves sold for 125 pesos a pair and Gore-Tex gloves sold for 190 pesos. The company took 8850 pesos. How many of each kind were sold?

Sagot :

let 'x' be the number of Fleece gloves sold
    'y' be the number of Gore-Tex gloves sold
x + y = 50   ----equation 1
125x + 190y = 8850 ----equation 2
rearranging equation 1
x + y = 50
x = 50 - y   -----equation 3
substitute equation 3 to equation 2
125x + 190y = 8850
125(50-y) + 190y = 8850
6250 - 125y + 190y = 8850
65y = 8850 - 6250
65y = 2600
y = 40 pcs
substitute to equation 3
x = 50 - y
x = 50 - 10
x = 10 pcs