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)
_____x+_____=_____
25,45,120
Let's let x represent the number of weekdays Johan practiced.
On Saturday, he practiced 45 minutes.
On the weekdays, he practiced 25 minutes each day, so he practiced for 25x minutes on the weekdays.
So the total amount of practice time is 45 + 25x minutes.
The equation in the form of px + q = r is:
25x + 45 = 120
Let's say Johan practiced 'x' number of weekdays.
On Saturday, he practiced drums for 45 minutes.
And on the other weekdays, he practiced for 25 minutes each.
So the total time he practiced on weekdays is 25x.
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.
Therefore, we can write the equation as:
45 + 25x = 120
Now the equation is in the form of px + q = r.
To solve this problem, we need to count the number of weekdays Johan practiced and then write an equation to represent the problem.
Let's assume that the number of weekdays Johan practiced is represented by x.
We are given that Johan practiced 45 minutes on Saturday and 25 minutes on most weekdays. Since there are 7 days in a week, he practiced for a total of 7 - 1 = 6 weekdays.
Now, let's write the equation in the form px + q = r:
25x + 45(1) = 120
In this equation, px represents the minutes practiced on weekdays (25 minutes multiplied by the number of weekdays, x) and q represents the minutes practiced on Saturday (which is 45 minutes). The sum of these two quantities should equal the total practice time, represented by r (which is 120 minutes).
Therefore, the equation in the form of px + q = r is:
25x + 45 = 120