Question

A gym holds one 90-minute exercise class on Saturday, one 60-minute exercise class on Sunday, and several 45-minute classes during the weekdays. Last week all of the classes lasted a total of 375 minutes. Write an equation you can use to find the number of weekday classes. Solve it.

Answer 1

The number of weekday exercise classes held by the gym last week is 5. This was calculated by subtracting the weekend class times from the total weekly class time and then dividing by the duration of each weekday class.

Step-by-step explanation:

We are asked to find the number of weekday exercise classes that a gym holds. We know that the total time spent in classes during the last week was 375 minutes, the Saturday class lasted 90 minutes, and the Sunday class lasted 60 minutes. Let's represent the number of weekday classes as x.

The total time spent in weekday classes would then be 45 minutes per class × x classes. Adding the time for the weekend classes, we get the equation that represents the total class time for the week:

90 + 60 + 45x = 375

To solve for x, we perform the following steps:

Combine the time of the weekend classes: 90 + 60 = 150 minutes.

Subtract this combined time from the total class time for the week: 375 - 150 = 225 minutes left for weekday classes.

Divide the remaining time by the duration of each weekday class to find the number of classes: 225 / 45 = 5 weekday classes.

So, the gym held 5 weekday exercise classes last week.