Question

A belt and a wallet cost $42 while 7 belts and 4 wallets cost $213. Calculate the cost of each item.

Answer 1

Let, the cost of a belt = x
cost of a wallet = y

Then, system of equations would be:
x + y = 42
7x + 4y = 213

Multiply 1st equation by 4,
4x + 4y = 168
Substitute it from 2nd equation,
3x = 45
x = 15

Now, substitute it in 1st equation,
15 + y = 42
y = 42 - 15 = 27

In short, Belt costs $15 and wallet costs $27

Hope this helps!

Answer 2

4 pair × $42 = 168
3 belts cost 45 and one will cost 15
if belt costs 15 wallet will cost $27