Question

While on vacation Craig bought a pair of sunglasses for $15.98 for $7.99 5 postcards and a beach towel the beach towel cost 0.50 cents more than half the price of sunglasses Craig gave the cashier $40 and got 3.59 change each postcard cost the same how much did each postcard cost

Answer 1

$0.79.

Explanation:

Let T= The price of beach towel,

P = The cost of each postcard.

S = The cost of sunglasses.

H = The cost of hat.

We have been given that while on vacation Craig bought a pair of sunglasses for $15.98. The beach towel cost 0.50 cents more than half the price of sunglasses.

We can set this information in an equation as:

`T=(15.98)/(2)+0.50`

`T=7.99+0.50`

`T=8.49`

We are told that Craig gave the cashier $40 and got 3.59 change and each postcard cost the same. So we can set this information in an equation as:

`T+5P+S+H=40-3.59`

Let us substitute our given values.

`8.49+5P+15.98+7.99=40-3.59`

Let us combine like terms.

`32.46+5P=36.41`

Let us subtract 32.46 from both sides of our equation.

`32.46-32.46+5P=36.41-32.46`

`5P=3.95`

Let us divide both sides of our equation by 5.

`(5P)/(5)=(3.95)/(5)`

`P=0.79`

Therefore, each postcard costs $0.79.