Question

Adriana’s family went to the state fair on a Tuesday night special event. The admission cost for the whole family was $42 and parking was $15. During the special event, all the ride tickets cost $2 each. If the total amount of money they had to spend for the evening was $120, how many tickets could Adriana’s family buy?

The unknown quantity, inequality, and the answer in a complete sentence.

Answer 1

Let x be the number of ride tickets Adriana's family can buy.

The cost of the admission and parking was $42 + $15 = $57.

The cost of the ride tickets is $2x.

The total amount they can spend for the evening is $120.

So, we can write the inequality:

$57 + $2x ≤ $120

To solve for x, we need to isolate the variable on one side of the inequality:

$2x ≤ $120 - $57
$2x ≤ $63
x ≤ $63 ÷ $2
x ≤ 31.5

Since Adriana's family can't buy a fraction of a ticket, the maximum number of ride tickets they can buy is 31.

Answer: Adriana's family can buy a maximum of 31 ride tickets.