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?

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) (Show Source): You can put this solution on YOUR website!

let votes for Ben be and for Matt

....eq.1

if the total number of votes cast was , we have

....eq.2
from eq.1 and eq.2 we have

go to ....eq.2, substitute

=> votes Ben did get

Answer by MathTherapy(10552) (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!
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