Question 1104046
net reservations = reservations - cancellations.


let n represent net number of reservations.
let r represent number of reservations.
let c represents number of cancellations.


formula becomes n = r - c


you are given that net number of reservations are 79.


these would be reservations that haven't been cancelled.


formula of n = r - c becomes 79 = r - c.


you are given that number of reservations are 13 more than 4 times cancellations.


formula for that would be r = 4 * c + 13.


since r = 4 * c + 13, replace r with 4 * c + 13 in formula of 79 = r - c to get 79 = 4 * c + 13 - c


combine like terms to get 79 = 3 * c + 13.


subtract 13 from both sides of this equation to get 66 = 3 * c.


solve for c to get c = 22.


go back to the equation of 79 = r - c.


when c = 22, this equation becomes 79 = r - 22.


add 22 to both sides of this equation to get 101 = r


there were 101 reservations made.
there were 22 cancellations.
the net reservations were 104 - 22 = 79.


since you were only asked to find the number of cancellations, then your solution is 22.