SOLUTION: Three shirts,two pairs of pants,and a hat cost $97.One shirt, four pairs of pants, and two hats cost $119. Three shirts, one pair of pants, & 5 hats cost $125. What is the cost of

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Question 974534: Three shirts,two pairs of pants,and a hat cost $97.One shirt, four pairs of pants, and two hats cost $119. Three shirts, one pair of pants, & 5 hats cost $125. What is the cost of one shirt?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +3s+%2B+2p+%2B+1h+=+97+
(2) +1s+%2B+4p+%2B+2h+=+119+
(3) +3s+%2B+1p+%2B+5h+=+125+
--------------------------
Multiply both sides of (1) by +2+
and subtract (2) from (1)
(1) +6s+%2B+4p+%2B+2h+=+194+
(2) +-1s+-+4p+-2h+=+-119+
---------------------------
+5s+=+75+
+s+=+15+
The cost of 1 shirt is $15
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check answer:
Subtract (1) from (3)
(3) +3s+%2B+1p+%2B+5h+=+125+
(1) +-3s+-+2p+-+1h+=+-97+
--------------------------
+-p+%2B+4h+=+28+
+p+=+4h+-+28+
-------------------
Substitute this result into (3)
(3) +3s+%2B+4h+-+28+%2B+5h+=+125+
(3) +3s+%2B+9h+=+153+
(3) +9h+=+153+-+3%2A15+
(3) +9h+=+153+-+45+
(3) +9h+=+108+
(3) +h+=+12+
-----------------
Substitute results so far into (1)
(1) +3%2A15+%2B+2p+%2B+12+=+97+
(1) +45+%2B+2p+%2B+12+=+97+
(1) +2p+=+97+-+57+
(1) +2p+=+40+
(1) +p+=+20+
Now you can check all 3 equations