The Method of Eliminationn

Question

Zidane works in a sporting goods store selling skates. A pair of hockey skates costs $58.00 and a pair of figures skates costs $56.00. One shift, Zidane sold 32 pairs of skates. His receipts totaled $1828, not including taxes.

a) How many pairs of hockey skates did Zidane sell?

Answer 1

h + f = 32

58h + 56f = 1828

We're using elimination? Huh, OK. Since we are asked to find the number of hockey skates sold, we need to eliminate f. We can do this by multiplying the top equation by -56 and adding the two equations together.

-56h - 56f = 1792

58h + 56f = 1828

2h = 36

h = 18