Question

Felipe used a 40 percent off coupon on a single item at the craft store which saved him $16.42. What would the item have cost if he had not used the coupon?

Answer 1

`$41.05`

Explanation:

Turn into an equation:

`x+0.40x=16.42+x`

Solve:

`cancel(x)+0.40x=16.42cancel(+x)`

`0.4x=16.42`

`x=$41.05`

Answer 2

`$41.05`

Explanation:

`"consider the original cost to be "100%`

`"and the saving of "$16.42" is "40%`

`"then using "color(blue)"proportion"`

`40%to$16.42`

`100%to($16.42)/40xx100=$41.05`