Respuesta :
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:
[tex]T=\frac{15.98}{2}+0.50[/tex]
[tex]T=7.99+0.50[/tex]
[tex]T=8.49[/tex]
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:
[tex]T+5P+S+H=40-3.59[/tex]
Let us substitute our given values.
[tex]8.49+5P+15.98+7.99=40-3.59[/tex]
Let us combine like terms.
[tex]32.46+5P=36.41[/tex]
Let us subtract 32.46 from both sides of our equation.
[tex]32.46-32.46+5P=36.41-32.46[/tex]
[tex]5P=3.95[/tex]
Let us divide both sides of our equation by 5.
[tex]\frac{5P}{5}=\frac{3.95}{5}[/tex]
[tex]P=0.79[/tex]
Therefore, each postcard costs $0.79.
