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For a recent year, the number of men in the senate totaled 3 more than 3 times the number of women. Find the number of men and the number of women in the senate given that the senate has 111 members

 Jan 22, 2020
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Let x be the number of women in the senate and y the number of men in the senate.'

 

We know that y=3x+3     (3 + 3 times the number of women)

We know that x+y=111.

With that you can now substitute y for 3x+3 and get the following:

x+y=111 => x+3x+3=111

4x+3=111

4x=111-3

4x=108

x=108/4

x=27

y=3*27+3 

y=84

Check by 84+27=111

 

Hope it helps

cheers

 Jan 22, 2020

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