SOLUTION: Ben and Matt received votes in the ratio 2:3. The total number of votes cast was 60. How many votes did Ben get?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Ben and Matt received votes in the ratio 2:3. The total number of votes cast was 60. How many votes did Ben get?      Log On


   

Question 1138769: Ben and Matt received votes in the ratio 2:3.
The total number of votes cast was 60.
How many votes did Ben get?
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let votes for Ben be x and for Matt y
x+%2Fy=+2%2F3
x+=+2y%2F3....eq.1

if the total number of votes cast was 60, we have
x%2By=60
x=60-y....eq.2
from eq.1 and eq.2 we have
+2y%2F3=60-y
+2y=180-3y
+2y%2B3y=180
+5y=180
+y=36
go to x=60-y....eq.2, substitute y
x=60-36
x=24=> votes Ben did get


Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Ben and Matt received votes in the ratio 2:3.
The total number of votes cast was 60.
How many votes did Ben get?
With Ben's share being 2 of the total 5 (2 + 3) parts, we get: 

That's it!!! Nothing more, nothing less, and NO COMPLEXITIES!