Would anyone mind helping me to see if I did this correctly?
At the city museum, child admission is $5.90 and adult admission is $9.00.On Sunday, three times as many adult tickets as child tickets were sold, for a total sales of $921.20.How many child tickets were sold that day?
C+A=14.9
5.90C+9.00A=921.20
5.90(14.9-A)+9.00A=921.20
5.90-14.9=87.91
87.91-5.90+9.00A=921.20
-3.1A=833.29
CANCEL OUT THE -3.1 AND DIVIDE 833.29 BY -3.1A =268.80
SO WOULD IT BE A=268.80?

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- teller

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- Vocaloid

uh, not quite, remember that A = the number of adult tickets, so it should be a whole number (no decimals!)
how about we start over from the very beginning, ok?

- Vocaloid

ok, we let C = number of child's tickets and A = number of adults tickets, with me so far?

- teller

there should be a decimal since it is money right?

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## More answers

- Vocaloid

think about what A and C represent...

- Vocaloid

A = number of adult tickets
C = number of child tickets
there's no such thing as a half a ticket, correct? the number of tickets must be a whole number

- teller

Um okay

- Vocaloid

well, the problem tells us that "three times as many adult tickets as child tickets were sold" which tells us that:
A = 3*C, agreed?

- teller

Yes

- Vocaloid

and we know that
(price of adult ticket)(number of adult tickets) + (price of child's ticket)(number of child's tickets) = total sales

- teller

alright

- Vocaloid

giving us:
5.90C + 9.00A = 921.20, correct?

- teller

Yes

- teller

so i had that part right

- Vocaloid

now let's work w/ our two equations:
A = 3C
5.90C + 9.00A = 921.20

- teller

wait let me gues

- teller

5.90(3-a)+9.00a=921.20?

- Vocaloid

almost but not quite...

- teller

oh lol

- Vocaloid

A = 3C, so we can replace "A" with "3C" whenever A shows up

- Vocaloid

giving us:
5.90C + 9.00A = 921.20
5.90C + 9.00(3C) = 921.20

- teller

alright

- Vocaloid

now let's work on the left side of the equation...
5.90C + 9.00(3C) = 5.90C + 27C = 32.9C, agreed?

- teller

yes

- Vocaloid

so that leaves us with
32.9C = 921.20
do you know how to find C from here?

- teller

would I divide ?

- Vocaloid

yup, divide both sides by 32.9 to find C

- teller

I got an odd number...

- Vocaloid

check your math again, use a calculator if you aren't sure

- Vocaloid

921.20/32.9 = ?

- teller

0.0357142857142857

- Vocaloid

other way around, big number divided by small number
921.20/32.9 = ?

- teller

28

- teller

ooooo thank you

- Vocaloid

right, so C = 28, and since C is the number of child's tickets, 28 is our answer

- teller

thank you!

- teller

@Vocaloid mind helping me with another one it's my last question

- Vocaloid

sure, I'll give it a shot

- Vocaloid

post a new question and tag me

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