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 mo

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 >)

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Xavia 3 weeks 2021-08-23T23:31:04+00:00 1 Answers 0 views 0

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  1. binhan
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    2021-08-23T23:32:56+00:00
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    Answer:

    x < 5

    Step-by-step 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 < \frac{-175}{-35}

    x < 5

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