SOLUTION: The women in a club outnumber the men by 16. 7 times the number of women exceeds 9 times the number of men by 32. Find the number of men.

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Question 205419: The women in a club outnumber the men by 16. 7 times the number of women exceeds 9 times the number of men by 32. Find the number of men.
Answer by ankor@dixie-net.com(22740) (Show Source):
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The women in a club outnumber the men by 16.
7 times the number of women exceeds 9 times the number of men by 32.
Find the number of men.
:
"The women in a club outnumber the men by 16."
w = m + 16
:
" 7 times the number of women exceeds 9 times the number of men by 32."
7w = 9m + 32
:
Find the number of men.
:
replace w with (m+16)
7(m+16) = 9m + 32
:
7m + 112 = 9m + 32
:
112 - 32 = 9m - 7m
:
80 = 2m
m =
m = 40 men
:
:
Check solution; (w = 40 + 16)
"7 times the number of women exceeds 9 times the number of men by 32"
7(56) = 9(40) + 32
392 = 360 + 32