SOLUTION: 500 people shopped at a candy store and spent a total of $500. The women each spent $1, the men each spent $5, and the children spent 1 cent. How many men shopped at the store? H

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: 500 people shopped at a candy store and spent a total of $500. The women each spent $1, the men each spent $5, and the children spent 1 cent. How many men shopped at the store? H      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 608387: 500 people shopped at a candy store and spent a total of $500.
The women each spent $1, the men each spent $5, and the children spent 1 cent.
How many men shopped at the store? How many women? How many children?
Answer by flame8855(424) About Me  (Show Source):
You can put this solution on YOUR website!
x is women
y is men
z is children
x+y+z = 500
x+5y+0.01z=500
since x+5y+0.01z=500
so the z has to be a multiple of 100 since there are no decimal numbers
100 children would leave 400 people to spend $499. 200 children would leave 300 people to spend $498.
300 children would leave 200 people to spend $497. 400 children would leave 100 people to spend $496
it is about trail and error
the values of x y and z must be whole numbers no decimals
the right answer is 99 men 1 women and 400 children.