Problema Solution
Together, Steve and Tom sold 105 raffle tickets for their school. Steve sold 17 more than three times as many raffle tickets as Tom. How many raffle tickets did each boy sell?
Answer provided by our tutors
let
t = the number of raffle tickets Tom sold
s = the number of raffle tickets Steve sold
Together, Steve and Tom sold 105 raffle tickets for their school
s + t = 105
Steve sold 17 more than three times as many raffle tickets as Tom
s = 17 + 3t
by solving the system of equations
s + t = 105
s = 17 + 3t
we find
s = 83 tickets
t = 22 tickets
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Steve sold 83 raffle tickets.
Tom sold 22 raffle tickets.