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

Answer:

$0.79.

Step-by-step 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:

$T=\frac{15.98}{2}+0.50$

$T=7.99+0.50$  

$T=8.49$  

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.

$\frac{5P}{5}=\frac{3.95}{5}$  

$P=0.79$  

Therefore, each postcard costs $0.79.