A table showing Tickets Sold, Cost, and Total. The first row shows Child, with the entries, c, 3, and 3 c. The second row shows Adult, with entries, x, 5, 5 x. The last row shows Total, with all three entries blank.

Question

Tickets to a baseball game cost $3 for a child’s ticket and $5 for an adult ticket. At the last game, $521 was collected when 139 people attended the game. Which value could replace x in the table so that a single-variable equation can be written and solved to determine the number of child’s tickets, c, sold?

139
521
139 – c
521 – c

Answer 1

To set up the equation, we know that the total number of tickets sold is 139, so the equation would be:

c + x = 139

We also know that $3 was collected for each child ticket and $5 for each adult ticket, totaling $521. This gives us another equation:

3c + 5x = 521

Now, we need to solve for x. We can substitute c = (139 - x) into the second equation:

3(139 - x) + 5x = 521
417 - 3x + 5x = 521
2x = 521 - 417
2x = 104
x = 52

Therefore, the value that could replace x in the table is 52.