Question

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A hardware store sold 10 hammers and 120 packages of nails for $950.50. If it sells one hammer and one package of nails for $12, how much does one package of nails cost?

Answer 1

10h+120p=950.50
h+p=12
p=?

h+p=12
-p both sides
h=12-p

plug in to 10h+120p=950.50
10 (12-p)+120p=950.50
distribute
120-10p+120p=950.50
simplify
120+110p=950.50
-120 both sides
110p=830.50
÷110 both sides
p=7.55