Question

Helena has saved $595 to put toward snowboarding equipment and lift tickets at the hill. Each lift ticket costs $35. If she wants to have more than $420 of her savings left to spend on equipment, which inequality represents the number of lift tickets she can buy? A. X<5 B. X<4 (there is a line _ underneath the >) C. X>7 D. X>7 (there is a line _ underneath the >)

Answer 1

`x < 5`

Explanation:

Given

`Savings = \$595`

Rate of Lifting Ticket = $35 per ticket

Expected Amount = More than $420

Required

Determine the number of tickets she can buy

If the cost of lifting 1 ticket is 35, then the cost of x tickets is 35x.

Her spendings is then calculated as:

Total = Savings - Cost of lifting tickets

`Total = 595 - 35x`

From the question, we understand that she wants to have more than 420 left.

This is represented as:

`595 - 35x > 420`

Collect Like Terms

`- 35x > 420 - 595`

`- 35x > -175`

Divide through by -35

`x < (-175)/(-35)`

`x < 5`