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

Answer:

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

Step-by-step 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

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

$5x-4x+34.50=42$

$x=42-34.50=\ 7.5$