SOLUTION: The owner of a men's clothing store bought 6 belts and 8 hats for $140. A week later at the same price , he bought 9 belts and 6 hats for $132. Find the price of the belt and the p
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Question 365453: The owner of a men's clothing store bought 6 belts and 8 hats for $140. A week later at the same price , he bought 9 belts and 6 hats for $132. Find the price of the belt and the price of the har Answer by amoresroy(361) (Show Source):
You can put this solution on YOUR website! 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
