Question

Your mother gave you $13.32 with which to buy a present. This covered `3/5` of the cost. How much did the present cost?

Answer 1

$22.20

Explanation:

It might help to look at the fraction in terms of percentages
if
`$13.32 = 60%`, then
`$0.222 = 1%` (divide 13.32 by 60 to get 1%)
You can then multiply this by 100% to get the full cost
`0.222 . 100= 22.20`
Therefore the full price was $22.20

We can check this by dividing 22.20 by 5 (5 parts total ) then multiplying by 3
This leaves us with 13.32, our given amount.

Answer 2

See a solution process below:

Explanation:

We can reword this problem as:

`$13.32 is`3/5# of what?

Let's call the cost of the present: `p`

We can then write and solve an equation as:

`$13.32 = 3/5 xx p`

`color(red)(5)/color(blue)(3) xx $13.32 = color(red)(5)/color(blue)(3) xx 3/5 xx p`

`($66.60)/color(blue)(3) = cancel(color(red)(5))/cancel(color(blue)(3)) xx color(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(5))) xx p`

`$22.20 = p`

`p = $22.20`

The total cost of the present was $22.20