Problema Solution

Individual tickets to a raffle cost .35. A pair of consecutively numbered tickets may be bought for .50. If 100 tickets were sold and $32.20 was collected, how many people purchased pairs of consecutively numbered tickets?

Answer provided by our tutors

let


x = the number of individual tickets sold

y = the number of paired tickets sold


x + y = 100


0.35x + (y/2)0.50 = 32.20


by solving the above system of equations we find


x = 72 tickets


y = 28 tickets


click here to see the step by step solution of the system of equations


Click to see all the steps



28 paired tickets were sold.


if 1 pair of tickets is bought by 1 person then the number of people that purchased pairs of consecutively numbered tickets is:


28/2 = 14 people.