SOLUTION: The number of men at a party is 2/9 of the number of women. There are 91 more women than men. How many people are there in the party.

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Question 120598: The number of men at a party is 2/9 of the number of women. There are 91 more women than men. How many people are there in the party.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The number of men at a party is 2/9 of the number of women. There are 91 more women than men. How many people are there in the party.
:
Here's one way: Let x = no. of men; (x+91) = no. of women
2%2F9 = x%2F%28%28x%2B91%29%29
:
Cross multiply:
9x = 2(x+91)
9x = 2x + 182
9x - 2x = 182
7x = 182/7
x = 26 men
then
26 + 91 = 117 women
For a total of
26 + 117 = 143 people
:
:
Check solution: 26%2F117 = 2%2F9