SOLUTION: At a football match,there were 250 more men than women.The number of children was twice the number of women. If the number of men was twice the number of children and women togethe

Algebra.Com
Question 1007524: At a football match,there were 250 more men than women.The number of children was twice the number of women. If the number of men was twice the number of children and women together,, how many people watched the match ??
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = number opf men
Let = number of women
Let = number of children
---------------------------
given:
(1)
(2)
(3)
---------------------
There are 3 equations and 3 unknowns,
so it's solvable
---------------------
Substitute (2) into (3)
(3)
(3)
(3)
Substitute (3) into (1)
(1)
(1)
(1)
and
(3)
(3)
(3)
and
(2)
(2)
(2)
There were 100 children, 50 women, and 300 men, so
people watched the match
--------------------------
check:
(3)
(3)
(3)
(3)
OK -you can check (1) and (2)

RELATED QUESTIONS

At a football match,there were 250 more men than women.The number of children was twice... (answered by ikleyn)
The ratio of the number of the men to the number of women at a football match was 4:3.The (answered by josmiceli)
exactly 830 people took part in a local fund raising eent. The number of adults was 80... (answered by rfer)
The attendance at a rugby game is as follows Number of men : number of women : number... (answered by ikleyn)
there were 3/5 as many men as women at a seminar. there were 48 fewer men than women... (answered by ewatrrr)
There were 28000 people at a football game. 9/14 of the people were adult men, 1/7 were... (answered by ankor@dixie-net.com)
At a party 1/4 of the people are children. There is 1/2 as many men as women, and 15... (answered by mananth)
There are 30 people total (Men,women,children) There are 5 more men than women. There... (answered by richwmiller)
At the fair there were half as many men as women. The number of adults was a third that... (answered by Fombitz,greenestamps)