Problema Solution

together steve and tom sold 82 raffle tickets for their school. Steve sold 13 more than twice as many raffle tickets as tom. How many raffle tickets did each boy sell?

Answer provided by our tutors

Let 'x' be the number of raffle tickets that Steve sold and 'y' be the the number of raffle tickets that Tom sold.

Also x and y are non-negative integers

We need to find x and y.


Now we have the following system of 2 equations:


x + y = 82

x + 13 = 2*y


If we put for x = 82 - y (from the first equation) in the second equation we get:


82 - y + 13 = 2*y

2*y + y = 82 + 13

y = 95/3


y = 31. 67 aproximately - this is not the solution since y needs to be non-negative integer therefore this problem has no solution.