Question

8 BASIC LEVEL 1. On weekends, a movie ticket costs $10.50. Form an inequality and solve it to find the maximum number of tickets Kate can buy with $205

Answer 1

10.50x ≤ 205

The maximum number of tickets, x, would be 19.

Explanation:

Given,

The cost of one ticket = $ 10.50,

The cost of x tickets = 10.50x dollars,

Since, the total cost can not exceed $ 205,

⇒ 10.50x ≤ 205

∵ 10.50 > 0 thus, when we multiply both sides by 1/10.50 the inequality sign will not change,

⇒ x ≤
`(205)/(10.50)` ≈ 19.52

Hence, the maximum number of tickets would be 19.