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:
[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]