There are 3 times as many people as chairs at the computer workshop. 16 people had to stand. How many people were at the computer workshop?
p = 3 c so c = p/3
16 = p - c
16 =p - p/3 = 2 p/3
8 = p/3
p = 24
Let's assume the number of chairs at the computer workshop is represented by the variable "C."
According to the problem, there are 3 times as many people as chairs, so the number of people can be represented by the variable "P," which is equal to 3 times the number of chairs: P = 3C.
If 16 people had to stand, then the total number of people minus the number of people sitting in chairs will equal 16: P - C = 16.
We can substitute the expression for P from the first equation into the second equation: 3C - C = 16.
Combining like terms, we have 2C = 16.
Finally, we can solve for C by dividing both sides by 2: C = 16/2 = 8.
Therefore, there were 8 chairs at the computer workshop. To find the number of people, we can substitute C = 8 into the equation P = 3C: P = 3(8) = 24.
So, there were 24 people at the computer workshop.