SOLUTION: Please help me with this problem. The number of men in a park was 7/10 that of the women. There were 36 more women than men . After some men had left the park. The number of wom

Question 903206: Please help me with this problem.
The number of men in a park was 7/10 that of the women. There were 36 more women than men . After some men had left the park. The number of women in the park was 5 times of the remaining men. How many men left the park?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Please help me with this problem.
The number of men in a park was 7/10 that of the women.
m = (7/10)w
-------------------------------
There were 36 more women than men .
w = m + 36
--------------------------------
Solve for m and w::
Substitute for "m" and solve for "w"::
w = (7/10)w+36
(3/10)w = 36
w = 120 (# of women in the park)
m = (7/10)w = (7/10)120 = 84 (# of men in the park)
-------------------------------------
After some men had left the park. The number of women in the park was 5 times of the remaining men. How many men left the park?
men:: 84-x
women:: 120
Equation::
120 = 5(84-x)
24 = 84-x
x = 60 (# of men who left the park)
=====================================
Cheers,
Stan H.
---------------
RELATED QUESTIONS
Please help with this problem. What is the probability of choosing a man that is... (answered by stanbon)

Here's my question. There was a 10K race. 112 more men than women were entered in the... (answered by oscargut)

At a football match,there were 250 more men than women.The number of children was twice... (answered by ikleyn)

In a parents-teacher's conference, there were twice as many women as men.If there were 51 (answered by rfer)

This year in the kangaroo hop exactly 35% of the runners were women and there were 252... (answered by josmiceli)

At a football match,there were 250 more men than women.The number of children was twice... (answered by josmiceli)

Can someone please help me with this? : The ratio of men to women in a club is 3:7.There (answered by Alan3354)

The ratio of men to women in attendance at a lecture was 7 to 5. If there where 35 men... (answered by Alan3354)

I need help with these two word problems In 2005, there were 66,000 new cases of skin... (answered by stanbon)