Problema Solution
together, steve and tom sold 90 raffle tickets for their school. steve sold 15 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
'y' be the number of raffle tickets that Tom sold
where x and y are non-negative integer numbers. We need to find x and y.
Following the conditions we have:
x + y = 90
x = 15 + 2y
We solve the equation by replacing x = 15 + 2y in the second equation x + y = 90 that is
15 + 2y + y = 90
15 + 3y = 90
3y = 90 - 15
3y = 75
y = 75 / 3
y = 25 tickets
x = 15 + 2y
x = 15 + 2*25
x = 65 tickets
Steve sold 65 tickets and Tom sold 25 tickets.