On a certain day, 25% of the people at a park were women. The number of men, boys and girls at the same park were in the ratio 8:5:2 respectively. If there were 54 more adults than children, how many people were at the park that day ?

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- Nov 25th 2013, 05:32 PManirban111Need help with this problem
On a certain day, 25% of the people at a park were women. The number of men, boys and girls at the same park were in the ratio 8:5:2 respectively. If there were 54 more adults than children, how many people were at the park that day ?

- Nov 25th 2013, 05:39 PMromsekRe: Need help with this problem
you have 4 variables, men, women, boys, girls

men and women are adults

boys and girls are children

see if you can make some progress on it now. - Nov 25th 2013, 07:21 PMibduttRe: Need help with this problem
let us say there were 100 people in park, out of these 25 were women and 75 rest, that is men , boys and girls. ratio 8:5:2 so we divide 75 in this ratio and we get 40 men, 25 boys and 10 girls. boys + girls = 35 so we have 5 men more that number of children.

When there are 5 men more than children we have people in park = 100

When there are 1 men more than children we have people in park = 100/ 5 = 20

When there are 54 men more than children we have people in park = 54 * 20 = 1080

We can also get the result by assuming that there were x people in the park initially. That you can try.