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sineoko [7]
3 years ago
10

Souvenir hats, T-shirts, and jackets are sold at a rock concert. Three hats, two T-shirts, and one jacket cost $140. Two hats, t

wo T-shirts, and two jackets cost $170. One hat, three T-shirts, and two jackets cost $180. Find the prices of the individual items.
Mathematics
1 answer:
Sergio039 [100]3 years ago
6 0

Let \:  x \:  be  \: the \:  price  \: of \:  a  \: hat,  \: y  \: be  \: the  \: price \:  of  \: a  \: T-shirt,  \: and \:  z  \: be \:  the \:  price \:  of \:  a \:  jacket.  \: We  \: have \:  a  \: system \:  of \:  equations: \\ 3x + 2y + z = 140 \\ x + y + z = 85 \\ x + 3y + 2z = 180 \\ x = 15 \\ y = 25 \\ z = 45.  \\ So  \: the  \: price \:  of  \: a \:  hat \:  is  \: 15, \:  a \:  T-shirt  \: is  \: 25 \:  and \:  a  \: jacket  \: is \:  45.
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