Question

2 pairs of goggles and 3 swimming caps cost $60.30.

3 pairs of goggles and 5 swimming caps cost $95.20.
Find the cost of a swimming cap.

Answer 1

Try to divide 95.20 by 1. In this question you are looking for the unit rate so you have to use 1.

Answer 2

`2g + 3s = 60.3`

`3g + 5s = 95.2`
If you look at the first formula we could write it as

`g = (60.3)/(2) - (3s)/(2)`
And if you write this instead of the g in the second equation you get

`3((60.3)/(2) - (3s)/(2) ) + 5s = 95.2`

`(180.9)/(2) - (9s)/(2) + 5s = 95.2`

`5s - 4.5s = 95.2 - 90.45`

`0.5s = 4.75`

`s = (4.75)/(0.5)`

`s = 9.5`

Swimming cap costs $9.5