Question

A merchandise vendor at a sports arena is given a large uncounted pile of hats and shirts to sell at a game. Hats cost $15.00 each, and shirts sell for $14.00 each. At the end of the night, the vendor realized he forgot to keep track of how many quantities of each item he sold. However, he does know that he sold 72 total items and sold $1,043.00 of merchandise. How many hats did he sell?

Answer 1

Answer:  35

Step-by-step explanation:

Let x be the number of hats and y be the number of shirts.

Cost of each hat = $15

Cost of x hat = 15x

Cost of each shirt = $14

Cost of y shirt = 14y

Total shirt sold = 72

Combined selling price = $1,043.00

According to the given question , we have the following system of equations :

$x+y=72-------------(1)\\\\ 15x+14y=1043----------------(2)$

Multiply 14 on both sides of equation (1) ,we get

$14x+14y=1008----------(3)$

Eliminate equation (3) from equation (2) , we get

$x=35$

Hence, he sold 35 hats.