Question

You and some friends are going to the fair. Small rides costs 4 tickets and while big rides costs 7 tickets. You and your friends bought a total of 250 tickets. Write an inequality to represent the different combinations of small and big you can enter.

Answer 1

4x+7y≤250

Explanation:

Inequalities

Let's call:

x = number of small rides

y = number of big rides

Since each small ride costs 4 tickets, x rides cost 4x tickets.

Since each big ride costs 7 tickets, y rides cost 7y tickets.

The total number of tickets is the sum of both:

Total tickets = 4x+7y

The friends have 250 tickets, so the total tickets of the rides cannot be greater than the 250 tickets available, thus:

4x+7y≤250