While on vacation, Craig bought a pair of sunglasses for $15.98, a hat for $7.99, 5 postcards, and a beach towel. The beach towel cost $0.50 more than half of the price of the sunglasses. Craig gave the cashier $40.00 and got $3.59 in change. Each postcard cost the same, how much did each postcard cost?

Verified Answer :

78cents for each postcard

Answer:


Each postcard cost $0.79



Step-by-step explanation:


Craig bought various items at a particular price let us represent the items as follows:


pair of sunglasses = $15.98


Hat = $7.99


Let the price of each postcard = a


Total price of 5 postcards =$5a


Beach towel = 0.50 + 1/2 ×  15.98 = $8.49


He gave the cashier $40 and got a change of $3.59. That means he paid 40-3.59 = $36.41  for the whole goods he bought.


Total amount of goods bought can be computed as


15.98 + 7.99 + 5a + 8.49  = 36.41


32.46  + 5a = 36.41


5a = 36.41 - 32.46


5a = 3.95


divide both side by 5


a = 3.95/5


a = 0.79


Each postcard cost $0.79