One family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park. Another family spends $146 in 3 adult tickets and 2 youth tickets at the same park. What is the price of a youth ticket?

sodni3

sodni3

Answered question

2020-11-30

One family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park. Another family spends $146 in 3 adult tickets and 2 youth tickets at the same park. What is the price of a youth ticket?

Answer & Explanation

Nicole Conner

Nicole Conner

Skilled2020-12-01Added 97 answers

Let x be the price of an adult ticket and y be the price of a yonth ticket.
One family spends $134 on 2 adult tickets and 3 youth tickets so we can write: 2x+3y=134
Another family spends $146 on 3 adult tickets and 2 youth tickets so we can write: 3x+2y=146
We need to find y so we eliminate x. Multiply (1) by 3 and (2) by 2 to obtain (3) and (4): 6x+9y=402
6x+4y=292
Subtract (3) and (4) and solve for y: 5y=110
y=22$22

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