Problema Solution
Together, Steve and Tom sold 119 raffle tickets for their school. Steve sold 15 more than three times 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.
From the conditions in the text we have:
x + y = 119
x = 15 + 3y
We solve the equation by replacing x = 15 + 3y in x + y = 119 that is
15 + 3y + y = 119
15 + 4y = 119
4y = 119 - 15
4y = 104
y = 104 / 4
y = 26 tickets
x = 15 + 3y
x = 15 + 3*26
x = 93 tickets
Steve sold 93 tickets while Tom sold 26 tickets.