Question

Alex pays $8 admission to the county 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?

2t + 16 ≤ 30

Solve the inequality. How many tickets can Alex buy?

A. 13 or more tickets

B. At most 7 tickets

C. 7 or more tickets

D. At most 3 tickets

Answer 1

How did the equation 2t + 16 ≤ 30 came about?

The left side of the equation, 2t + 16, represents Alex's expenses. 16 stands for the admission and lunch ( 8+8 = 16) and 2t stands for 't' tickets times 2, since each costs $2. The right side of the equation is the limit expense which is equal to 30. Lastly, the inequality stands for 'less than or equal to'. Solving the equation,

2t </= 30 - 16
2t </= 14
t </= 7

This means that Alex should only get less than or equal to 7 tickets. Particularly, Alex is only limited to 7 tickets. The answer is letter B.