SOLUTION: An athlete buys three T-shirts, five sweat-bands and two pairs of running shoes from a sports outlet. A T-shirt costs twice as much as a sweat-band, while a pair of running shoes

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Question 1187730: An athlete buys three T-shirts, five sweat-bands and two pairs of running shoes from a sports outlet.
A T-shirt costs twice as much as a sweat-band, while a pair of running shoes costs $ 300 more than a
sweat-band. The athlete hands the cashier $ 1380
Determine the cost of a T-shirt, a sweat-band and a pair of running shoes.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Strange problem, but it sounds more real-life than most math problems.
x= cost of a sweat-band, in $
2x= cost of a T-shirt, in $
x%2B300= cost of a pair of running shoes, in $
Total spent (in $) is $1380 (or maybe $1380 minus some change):
3%282x%29%2B5x%2B2%28x%2B300%29%3C=1380
6x%2B5x%2B2x%2B600%3C=1380
13x%2B600%3C=1380
13x%3C=1380-600
13x%3C=780
x%3C=780%2F13
x%3C=60
I bet x=60 is the price (in $) of the sweat-band, the total cost of the purchases was $1380, and the athlete expects no change. That would make the price for a T-shirt $120, and the price for a pair of running shoes $360.
Where I live, sales tax is added to the price of an item, and almost no one pays with cash. Most people pay with a credit card without touching any paper money.