Question

The cost of three watches and two pairs of shoes is $2,091.00. The cost of four watches and three pairs of shoes is $2,866.50. What is the cost of a pair of shoes?

Answer 1

the cost of a pair of shoes is 235.5 dollars

let the watches be represented by W

let the shoes be represented with S

3W + 2S = 2,091.00--------------equ 1

4W + 3S = 2,866.50-------------equ 2

using the elimination method

multiply equ 1 by 4, and equ 2 by 3

12W + 8S = 8364

-12W + 9S = 8599.5

- S = -235.5

the cost of a pair of shoes is 235.5 dollars