Answer to Question #121658 in Algebra for Diego

Question

you purchase 3 squash racquets, 7 pairs of socks and 4 head-bands from a sports shop. You hand the cashier R2500 and receive R250 in change. A squash racquet costs R510 more than a pair of socks, which in turn is half the price of a head-band

Answer 1

Let $x=$ the cost of one pair of socks. Then the cost of one squash racquet is $x+510,$ the cost of one head-band is $2x$

You purchase 3 squash racquets, 7 pairs of socks and 4 head-bands from a sports shop. You hand the cashier R2500 and receive R250 in change.

$$2500-(3(x+510)+7x+4(2x))=250$$

Solve for $x$

$$2500-3x-1530-7x-8x=250$$

$$18x=720$$

$$x=40$$

Cost of one squash racquet $=40+510=550$

Cost of one pair of socks $=40$

Cost of one head-band $=2(40)=80$

Cost of one squash racquet is R550.

Cost of one pair of socks is R40.

Cost of one head-band is R80.