Question

Selene wants to invite some friends to go with her to see the El Control concert. She will purchase tickets online for $42.50 each plus a $5 handling fee. If Selene has $250, how many tickets can she buy? Write and solve an inequality to model the situation.
A
42.50x+5≤250

5 tickets

B
42.5x+5≥250

6 tickets

C
42.50x+5≥250

5 tickets

D
42.50x+5≤250

6 tickets

Answer 1

The price of each ticket is $42.50. So if Selene buys x tickets, the cost of x tickets will be 42.50x.

She has to pay $5 handling fee as well for purchasing the tickets online. So her total cost of the tickets will be:

Total Cost = 42.50x + 5

Selene got $250. This means she can spend a maximum of $250 on the tickets. Maximum of $250 means less than or equal to $250.

So, we can write the spending on the tickets in the form of following in equality:

42.50x + 5 ≤ 250

42.50x ≤ 245

x ≤ 5.76

This shows, Selene can buy 5.76 tickets. Since the number of tickets has to be a whole number we look for the nearest possible number. She cannot buy 6 tickets, as the cost will exceed $250. So the maximum tickets she can buy are 5.

Therefore, the correct answer is option A