Question

At the Holiday Valley Ski Resort, skis cost $16 to rent, and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, how many skis and snowboards were rented?

Define the two variables in the problem.

A. x represents the number of skis rented, y represents the number of snowboards rented.
B. x represents the cost of renting skis, y represents the cost of renting snowboards.
C. x represents the number of people who rented skis, y represents the number of people who rented snowboards.
D. x represents the total cost of renting skis, y represents the total cost of renting snowboards.

Answer 1

In the given problem, x represents the number of skis rented and y represents the number of snowboards rented. By setting up a system of equations using the given information, we can find the values of x and y. In this case, 18 skis and 10 snowboards were rented.

Step-by-step explanation:

The two variables in the problem are:

A. x represents the number of skis rented, y represents the number of snowboards rented.

To solve the problem, we need to set up a system of equations using the given information. We know that the cost of renting skis is $16 and the cost of renting snowboards is $19. We also know that 28 people rented equipment and the resort brought in $478. So, we can set up the following equations:

x + y = 28 (equation 1)

16x + 19y = 478 (equation 2)

By solving this system of equations, we can find the values of x and y, which represent the number of skis and snowboards rented, respectively.

Multiplying equation 1 by 16, we get:

16x + 16y = 448 (equation 3)

Subtracting equation 3 from equation 2, we eliminate x:

16x + 19y - 16x - 16y = 478 - 448

3y = 30

y = 10

Substituting y = 10 into equation 1, we can find x:

x + 10 = 28

x = 18

Therefore, 18 skis and 10 snowboards were rented.