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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 >)

Respuesta :

MrRoyal

Answer:

[tex]x < 5[/tex]

Step-by-step explanation:

Given

[tex]Savings = \$595[/tex]

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

[tex]Total = 595 - 35x[/tex]

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

This is represented as:

[tex]595 - 35x > 420[/tex]

Collect Like Terms

[tex]- 35x > 420 - 595[/tex]

[tex]- 35x > -175[/tex]

Divide through by -35

[tex]x < \frac{-175}{-35}[/tex]

[tex]x < 5[/tex]

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