Question

Alex pays $8 admission to the country fair and spends $8 on lunch. He buys some ride tickets for $2 each

How many tickets can Alex buy without spending more than $30 at the fair?

The inequality 2t+16≤30 models this situation, where t is the number of tickets Alex can buy.

Solve the inequality how many tickets can Alex buy?

Answer 1

To determine how many tickets Alex can buy without exceeding his budget, we start with the inequality given:

\[
2t + 16 \leq 30
\]

Here, \( t \) represents the number of tickets Alex can buy. The $16 comes from his $8 admission and $8 spent on lunch.

Next, we solve the inequality step by step:

1. Subtract 16 from both sides of the inequality:

\[
2t \leq 30 - 16
\]
\[
2t \leq 14
\]

2. Now, divide both sides by 2 to isolate \( t \):

\[
t \leq \frac{14}{2}
\]
\[
t \leq 7
\]

This means Alex can buy at most 7 tickets.

To summarize, the maximum number of ride tickets Alex can buy without spending more than $30 at the fair is **7 tickets**.