Question 1055595: Not sure if it comes under this topic but I have tried to build up an equation to solve it and I think I can but I'm not understanding how. So here's the question :
In a picnic there were 240 persons. There were 20 more men than women and 20 more adults than children. How many men were there in the picnic ? Answer given in my book shows it's 75, but I dont understand how.
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
Not sure if it comes under this topic but I have tried to build up an equation to solve it and I think I can
but I'm not understanding how. So here's the question :
In a picnic there were 240 persons. There were 20 more men than women and 20 more adults than children.
How many men were there in the picnic ? Answer given in my book shows it's 75, but I dont understand how.
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M for men, W for women and C for children.
M + W + C = 240, (1)
M - W = 20, (2)
M + W - C = 20. (3).
Add equations (1) and (3). You will get
2*(M + W) = 260, or
M + W = 130. (4)
Add (2) and (4). You will get
2M = 150.
Hence, M = 75.
Solved.
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