anonymous one year ago A village fair offers three throws for $1 and seven throws for$2. If with 187 throws $57 is made, how many people bought three throws • This Question is Open 1. anonymous we need a variable for either the$1 throws or the $2 throws so we can solve this for one of them which one do you pick and what variable? 2. anonymous could it be x and y 3. anonymous you want to use two variables that is find also unnecessary but fine 4. anonymous ok that was wrong how can 187 throws bring in only$57?

5. anonymous

oooh i got that totally wrong doh sorry

6. anonymous

if you only use one variable how would that turn out

7. anonymous

lets see if we can do it this way first

8. anonymous

the total is 187 so $x+y=187$

9. anonymous

and also $\frac{x}{3}+\frac{2y}{7}=57$

10. anonymous

you can solve that for $$x$$ and $$y$$ probably easier to multiply the second equation by 21 and start with $x+y=87\\ 7x+6y=1179$

11. anonymous

i get $$x=657$$ but that is the number of throw, not the number of people the number of people would be one third of that, since they got three throws each

12. anonymous

it says the number of people is suppose to be 25

13. anonymous

really? guess i screwed that one up

14. anonymous

let me see if i can unscrew it if x is the number of people with 3 throws and y with 7 then maybe we should have $3x+7y=187$

15. anonymous

and also $x+2y=57$

16. anonymous

seems to work nicely, get $$x=25,y=16$$