The owner of a discount clothing store ordered six belts and eight hats for $140. A
week later, at the same prices, he bought nine belts and six hats for $132. Find the
price of a belt and a hat.
Let b = the price of the belt h = the price of the hat Equation 1 6b + 8h = 140 Equation 2 9b + 6h = 132 Multiply equation 1 by 1.5 1.5(6b + 8h = 140) 9b +12h = 210 Subtract by equation 2 9b-9b +12h-6h = 210-132 6h = 78 h = 13 Substitute h = 13 in equation 1 6b + 8*13 = 140 6b = 140 - 104 6b = 36 b = 6 The price of the hat is $13.00 each The price of the belt is $6.00 each
