Question

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.

Answer 1

x + y < 20

5x + 10y ≥ 100

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