SOLUTION: You purchase 3 squash rackets, 7 pairs of socks and 4 headbands from Sportman's warehouse. You hand the cashier R2500.00 and receive R250.00 change. A squash racket costs R510.00 m

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Question 1127737: You purchase 3 squash rackets, 7 pairs of socks and 4 headbands from Sportman's warehouse. You hand the cashier R2500.00 and receive R250.00 change. A squash racket costs R510.00 more than a pair of socks which in turn is half the price of a headband.
1. Calculate the price of a squash racket, a pair of socks and a headband.

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
rackets: r
socks: s
headband: h
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3r + 7s + 4h = (2500-250)
3r + 7s + 4h = 2250
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r = s + 510
h = 2s
3(s + 510) + 7s + 4(2s) = 2250
3s + 1530 + 7s + 8s = 2250
18s = 720
s = 40
r = s + 510 = 40 + 510 = 550
h = 2s = 2(40) = 80
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Check:
3r + 7s + 4h = 2250
3(550) + 7(40) + 4(80) = 2250
multiply and add, you will find that the answer is correct.
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Happy learning!