Visitors to a carnival can buy an unlimited-ride pass for $50 or an entrance-only pass for $20. In one day, 282 passes were sold for a total of $10,680. How many unlimited-ride passes were sold?

114
146
168
212

Question

Visitors to a carnival can buy an unlimited-ride pass for $50 or an entrance-only pass for $20. In one day, 282 passes were sold for a total of $10,680. How many unlimited-ride passes were sold?

 114
 146
 168
 212

anonymous · Answer

you need a variable for the unlimited passes
what do you choose?

anonymous · Answer

x

anonymous · Answer

ok then since the total is $282$ the number of entrance only passes is $282-x$

anonymous · Answer

the unlimited passes cost $50 so $x$ of those will be $50x$ and the entrance only cost $10 so $282-x$ of those cost $10(282-x)$ for a total of $$50x+10(282-x)$$

anonymous · Answer

20*

anonymous · Answer

oops that was wrong, $20, right

anonymous · Answer

50x + 20(282 - x)

anonymous · Answer

right

anonymous · Answer

set that equal to the total of $10,680$ and solve $$50x+20(282*-x)=10,680$$ for $x$

anonymous · Answer

without the $*$ of course that was a typo

anonymous · Answer

ok