Problema Solution
Taha, Tommy and Altan were running for sheriff. In the election a total of 15424 votes were cast. Taha received 1006 more than Tommy and 1213 more than Altan. How many votes did each candidate receive?
Answer provided by our tutors
let
x = the number of votes Taha received
y = the number of votes Tommy received
z = the number of votes Altan received
total of 15424 votes were cast
x + y + z = 15424
Taha received 1006 more than Tommy and 1213 more than Altan
x = y + 1006
and 1213 more than Altan
x = 1213 + z
by solving the system of equations
x + y + z = 15424
x = y + 1006
x = 1213 + z
we find
x = 5881 votes
y = 4875 votes
z = 4668 votes
click here to see the step by step solution of the system of equations
Taha received 5881 votes.
Tommy received 4875 votes.
Altan received 4668 votes.