14. Johan practices the drums for 45 minutes on Saturday and 25 minutes on most weekdays. Last week he practiced 120 minutes. How many weekdays did he practice? Write an equation in the form of px + q = r to represent this problem.(3 points
Let's use the variable x to represent the number of weekdays Johan practiced. Since he practiced for 45 minutes on Saturday and 25 minutes on most weekdays, the total time he practiced on weekdays can be represented as 25x. Adding the time he practiced on Saturday, the total practice time is 45 + 25x. Setting this equal to the total time he practiced last week, we can write the equation as:
45 + 25x = 120
Let's assume that Johan practiced the drums for x number of weekdays.
On Saturday, Johan practiced for 45 minutes.
On each weekday (except Saturday), Johan practiced for 25 minutes.
Therefore, the total time Johan practiced on weekdays can be represented as 25x.
The total time Johan practiced in the week is given as 120 minutes.
So, the equation in the form of px + q = r to represent this problem is:
25x + 45 = 120.
To find the number of weekdays Johan practiced, we need to subtract the time he practiced on Saturday from the total time he practiced last week.
Let's denote the number of weekdays Johan practiced as x.
According to the problem, he practiced for 45 minutes on Saturday. Since there is only one Saturday in a week, the total time he practiced on Saturday is the same, i.e., 45 minutes.
On most weekdays, he practiced for 25 minutes. Therefore, on x weekdays, he would have practiced for 25x minutes.
The total time he practiced last week is given as 120 minutes.
So, we can write the equation as follows:
Total time of weekdays' practice + Time on Saturday = Total practice time
25x + 45 = 120
This equation represents the problem in the form of px + q = r, where p = 25 (coefficient of x), q = 45 (constant term) and r = 120.
Now, you can solve this equation to find the value of x, which will give you the number of weekdays Johan practiced.