SOLUTION: Stan spent $167 on shirts. The button shirts cost $27 each, and the t-shirts cost $8 each. He bought a total of 9 shirts. How many of each did he buy?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Stan spent $167 on shirts. The button shirts cost $27 each, and the t-shirts cost $8 each. He bought a total of 9 shirts. How many of each did he buy?      Log On


   

Question 863660: Stan spent $167 on shirts. The button shirts cost $27 each, and the t-shirts cost $8 each. He bought a total of 9 shirts. How many of each did he buy?
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Stan spent $167 on shirts. The button shirts cost $27 each, and the t-shirts cost $8 each. He bought a total of 9 shirts. How many of each did he buy?
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Quantity Equation: b + t = 9
Value Equation:: 27b+8t = 167
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Modify for elimination:
8b + 8t = 72
27b + 8t = 167
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19b = 95
b = 5 (# of button shirts)
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Solve for "t":
b + t = 9
5 + t = 9
t = 4 (# of t-shirts
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Cheers,
Stan H.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x represent number of button shirts ...%289-x%29 the number of t-shirts

27x + 8(9-x) = 167   

       19x = 95

         x = 5, number of button shirts.  4 t-shirts