Question

question 4 · 1 point
the bowling alley sold 53 tickets on saturday, for a total of $346. general admission tickets cost $7 each and youth tickets cost $6 each. how many general admission tickets and how many youth tickets were sold?
provide your answer below:
□ general admission tickets, □ youth tickets

Explanation:

Step1: Define variables

Let \( x \) be the number of general admission tickets and \( y \) be the number of youth tickets.
We have two equations:

1. \( x + y = 53 \) (total number of tickets)
2. \( 7x + 6y = 346 \) (total cost)

Step2: Solve the first equation for \( y \)

From \( x + y = 53 \), we get \( y = 53 - x \).

Step3: Substitute \( y \) into the second equation

Substitute \( y = 53 - x \) into \( 7x + 6y = 346 \):

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Step4: Find \( y \)

Substitute \( x = 28 \) into \( y = 53 - x \):
\( y = 53 - 28 = 25 \)

Answer:

28 general admission tickets, 25 youth tickets