Word Problem - Please Help

Question

At a concert, 2/5 of the people were men. There were 3 times as many women as children. If there were 45 more men than children, how many people were there at the concert?

Answer 1

LET C REPRESENT THE NUMBER OF CHILDREN. THEN C + 45 IS THE NUMBER OF MEN AND 3C IS THE NUMBER OF WOMEN.

THE TOTAL IS C + (C + 45) + 3C. sINCE THE NUMBER OF MEN IS 2/5 OF THE TOTAL, WE KNOW THAT

 

C + 45 = 2/5 (5C + 45).   uSING THE DISTRIBUTIVE PROPERTY C + 45 = 2C + 18 AND C=27 AND THE TOTAL NUMBER OF PEOPLE IS 180. (81 WOMEN, 72 MEN, AND 27 CHILDREN.)