Question

Carlos and Juan went to a carnival. Carlos bought 6 ride tickets, r, and 3 drink tickets, d. Carlos spent $21.75. Juan spent $39.50 on 10 ride tickets and 6 drink tickets. Write a system of equations that represents the situation.

Answer 1

Explanation:

Let r be the cost of one ride ticket, and let d be the cost of one drink ticket.

Then we can write the following system of equations to represent the situation:

For Carlos:

6r + 3d = 21.75

For Juan:

10r + 6d = 39.50

In the first equation, 6r represents the cost of 6 ride tickets and 3d represents the cost of 3 drink tickets that Carlos bought. Together they add up to $21.75, the total amount Carlos spent.

In the second equation, 10r represents the cost of 10 ride tickets and 6d represents the cost of 6 drink tickets that Juan bought. Together they add up to $39.50, the total amount Juan spent.