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Molly's custom kitchen supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supples to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks fr $5.60 and spoons for $5.40. Last April Molly's custom kitchen supples spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20 . How many forks and how many spoons did they make?
let the no of forks be x and no of spoon be y 1.7x + 1.3y = 37.9 5.6x + 5.4y = 147.2 solving for x and y, we get multiplying eqn 1 by 5.6 and equation 2 by 1.7 we get 9.52x + 7.28y = 212.24 9.52x + 9.18y = 250.24 subsrtracting eqns we get 7.28y - 9.18y = 212.24 - 250.24 1.9y = 38 y = 20 x = (37.9 -1.3*20)/1.7 = 7
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