Problema Solution
Art, Bruce, and Charlie were running for sheriff. In the election, a total of 15,424 votes were cast. Art received 1006 more than Bruce and 1213 more than Charlie. How many votes did each candidate receive?
Answer provided by our tutors
let bruce receive b, charlie c and Art=a
a+b+c=15424
a=1006+b
a=1213+c
=> b=a-1006
and c=a-1213
thus, a+ a-1006+a-1213=15424
=> 3a=17643
=> a=5881
b=5881-1006=4875
c=5881-1213=4668