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The ski club wants to take in at least $100 in profit for the bus to Holiday Valley. Students pay $5 to ride the bus and chaperones pay $10 to ride the bus. The bus has a maximum of 20 seats.

Write a system of linear inequalities to show how many students, x, and chaperones, y, can ride the bus to Holiday Valley.

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  1. Today, 11:44
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    x + y < 20

    5x + 10y ≥ 100

    Step-by-step explanation:

    The ski club wants at least $100

    Student pays $5

    Chaperone pays $10

    Maximum number of seats = 20

    Assumption:

    Assumed number of students = x

    Assumed number of chaperone = y

    Equation:

    Maximum number of seats = 20

    ⇒ x + y < 20

    The club wants $100

    ⇒ 5x + 10y ≥ 100
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