Question

Mr. Smith buy two tickets to the basketball game and one souvenir for a total of $17.25. Mrs. Lockhart bought 5 tickets the same game 2 souvenirs for a total of $42. How much was a ticket to the game?

Answer 1

The cost of one ticket to the game was
`\$7.5`

Explanation:

Let

x-----> the cost of one ticket to the basketball game

y-------> the cost of one souvenir

we know that

`2x+y=17.25`

`y=-2x+17.25` -------> equation A

`5x+2y=42` -------> equation B

substitute equation A in equation B and solve for x

`5x+2(-2x+17.25)=42`

`5x-4x+34.50=42`

`x=42-34.50=\$7.5`