Residents of the city voted. The ratio of yes votes to know votes was 8 to 5. If there were 11219 total votes how many yes votes were there?

Puzzling2017-01-13T01:09:39Z

Add the two numbers in the ratio together:
5 + 8 = 13

That's the denominator of a fraction.
8/13 of the votes are yes votes.
5/13 of the votes are no votes.

Multiply that fraction times the total votes.
8/13 * 11219 = 6,904 yes votes

You can also do it algebraically.
Let 8x be the number of yes votes
Let 5x be the number of no votes
8x + 5x = 11219
13x = 11219
x = 11219/13
x = 863

Yes votes (8x) --> 8 * 863 = 6,904
No votes (5x) --> 5 * 863 = 4,315

10

og2017-01-13T00:54:50Z

11219 total votes, so 8x + 5x = 13x, 11219/13 = 6904

00

az_lender2017-01-13T00:37:39Z

(8/13)*11219 = 6904

00

alex2017-01-13T00:37:56Z

6904

00

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