Question

Ali wants to attend more group exercise classes at his gym. This week, he plans to attend 1 cardio class and 5 weightlifting classes, which will last a total of 237 minutes. Next week, he hopes to attend 5 cardio classes and 5 weightlifting classes, which will last a total of 465 minutes.

a) Write a system of equations that represents the above situation.





b) Use the elimination method to show the length of the cardio class and the length of the weightlifting class.

Answer 1

x + 5y = 237

5x + 5y = 465

Explanation:

Let

x = length of cardio class

y = length of weightlifting class

x + 5y = 237 (1)

5x + 5y = 465 (2)

Using elimination method

Subtract (1) from (2) to eliminate y

5x - x = 465 - 237

4x = 228

x = 228/4

x = 57 minutes

Substitute x = 57 into (1)

x + 5y = 237 (1)

57 + 5y = 237

5y = 237 - 57

5y = 180

y = 180/5

y = 36 minutes

x = length of cardio class = 57 minutes

y = length of weightlifting class = 36 minutes