Question

Jimmy’s new cell phone cost him $49.99 when he signed a 2-year plan, which was 75% off the original price. What was the original price?

Answer 1

`$199.96`

Explanation:

If Jimmy's new cell cost him `$49.99` with a `75%` discount, then `color(blue)($49.99)` is `100%-75%=color(blue)(25%)` of the original price.

You can solve the problem by setting up a ratio using fractions. Start by making a "let" statement to represent `x`, the original price.

Let `x` represent the original price of the cell phone.

Set up the equation.

`(25%)/(100%)=($49.99)/x`

Remove all symbols.

`25/100=49.99/x`

Solve for `x`.

`x=49.99-:25/100`

`x=49.99xx100/25`

`x=color(green)(|bar(ul(color(white)(a/a)$199.96color(white)(a/a)|)))`

`:.`, the original price of the cell phone was `$199.96`.