Question

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

Answer 1

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?

Answer 2

could it be x and y

Answer 3

you want to use two variables that is find also
unnecessary but fine

Answer 4

ok that was wrong
how can 187 throws bring in only $57?

Answer 5

oooh i got that totally wrong doh sorry

Answer 6

if you only use one variable how would that turn out

Answer 7

lets see if we can do it this way first

Answer 8

the total is 187 so \[x+y=187\]

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

it says the number of people is suppose to be 25

Answer 13

really? guess i screwed that one up

Answer 14

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 \[3x+7y=187\]

Answer 15

and also \[x+2y=57\]

Answer 16

seems to work nicely, get \(x=25,y=16\)