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 x be the number of weekdays Johan practiced.
Each weekday Johan practiced 25 minutes so he practiced 25x minutes.
Last week he practiced 120 minutes, so his total practice time was 120 = 25x + 45.
Thus, the equation is 25x + 45 = 120. Answer: \boxed{25x + 45 = 120}.
To find the number of weekdays Johan practiced, we need to subtract the time he practiced on Saturday (45 minutes) from the total time he practiced last week (120 minutes) and then divide the result by the time he practiced on most weekdays (25 minutes).
Let's define the variables:
- p represents the number of weekdays he practiced.
- x represents the time he practiced on most weekdays (25 minutes).
- q represents the time he practiced on Saturday (45 minutes).
- r represents the total time he practiced last week (120 minutes).
The equation in the form of px + q = r is:
p * x + q = r
Substituting the given values:
p * 25 + 45 = 120
Simplifying the equation:
25p + 45 = 120
Now we can solve for p:
25p = 120 - 45
25p = 75
p = 75 / 25
p = 3
Therefore, Johan practiced on 3 weekdays last week.
Let's assume the number of weekdays Johan practiced is x.
On Saturday, he practiced for 45 minutes.
On the weekdays, he practiced for 25 minutes each day, so the total time he practiced on weekdays is 25x minutes.
Adding the time from Saturday, the total practice time for the week is 45 + 25x minutes.
According to the problem, the total practice time for the week is 120 minutes.
So, we can write the equation as:
45 + 25x = 120