At the city museum, child admission is
$5.40
and adult admission is
$8.90
. On Thursday,
160
tickets were sold for a total sales of
$1182.50
. How many adult tickets were sold that day?

Question

At the city museum, child admission is 
$5.40
 and adult admission is 
$8.90
. On Thursday, 
160
tickets were sold for a total sales of 
$1182.50
. How many adult tickets were sold that day?

bloomlocke367 · Answer

okay, you're going to have to write a system of equations, do you know how to do that?

bloomlocke367 · Answer

@Cassandra_Lea_96

anonymous · Answer

right now I have 5.40(160-x) + 8.90x = 1182.50

anonymous · Answer

I'm pretty sure it's supposed to go along those lines not sure I have it set up in the right order though =o

anonymous · Answer

@BloomLocke367

bloomlocke367 · Answer

I'm not sure if that works or not, it might, but what I would have done is make a system of equations that's $5.40x+8.90y=1182.50$ and $x+y=160$

bloomlocke367 · Answer

do you understand why that will help you solve your question?

anonymous · Answer

oh ok yes, because x and y are how many tickets are sold and the total of tickets add up to 160. how would I start to work this out?

bloomlocke367 · Answer

you could do a few things, but the easiest (in my opinion) would be to use substitution

bloomlocke367 · Answer

do you know how to do that?

bloomlocke367 · Answer

@Cassandra_Lea_96

anonymous · Answer

I'd need to work out the x+y = 160 equation to find x and then substitute it right?

bloomlocke367 · Answer

yes :)

anonymous · Answer

5.40 (160 - y) + 8.909y = 1182.50

bloomlocke367 · Answer

yes, that's really close to what you had :)

bloomlocke367 · Answer

now just solve it, do you know how?

anonymous · Answer

864 - 5.40y +8.90y = 1182.50
864 - 14.03y = 1182.50
14.03y = 318.05
y = 22.70

anonymous · Answer

I think I messed up somewhere or missed a step because 22.70 doesn't look like the answer to how many adult tickets were sold =o

anonymous · Answer

@BloomLocke367

bloomlocke367 · Answer

I see your error... when you combined like terms, you made a mistake.. you got -14.03y when it should be 3.50y

bloomlocke367 · Answer

do you see why?

anonymous · Answer

oh I should have kept the 5.40y as a negative

bloomlocke367 · Answer

yes :)

bloomlocke367 · Answer

now try it, and see what you get c:

anonymous · Answer

90.87 ? =p

bloomlocke367 · Answer

I got 91 ... how'd you get 90.87?

anonymous · Answer

no idea haha calculator? =o I mean it rounds up though I guess =/

bloomlocke367 · Answer

Yeah XD

anonymous · Answer

lol thank you!!

bloomlocke367 · Answer

You're welcome!