Question

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?

Answer 1

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?

Answer 2

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

Answer 3

there should be a decimal since it is money right?

Answer 4

think about what A and C represent...

Answer 5

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

Answer 6

Um okay

Answer 7

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?

Answer 8

Yes

Answer 9

and we know that

(price of adult ticket)(number of adult tickets) + (price of child's ticket)(number of child's tickets) = total sales

Answer 10

alright

Answer 11

giving us:

5.90C + 9.00A = 921.20, correct?

Answer 12

Yes

Answer 13

so i had that part right

Answer 14

now let's work w/ our two equations:

A = 3C
5.90C + 9.00A = 921.20

Answer 15

wait let me gues

Answer 16

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

Answer 17

almost but not quite...

Answer 18

oh lol

Answer 19

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

Answer 20

giving us:

5.90C + 9.00A = 921.20

5.90C + 9.00(3C) = 921.20

Answer 21

alright

Answer 22

now let's work on the left side of the equation...

5.90C + 9.00(3C) = 5.90C + 27C = 32.9C, agreed?

Answer 23

yes

Answer 24

so that leaves us with

32.9C = 921.20

do you know how to find C from here?

Answer 25

would I divide ?

Answer 26

yup, divide both sides by 32.9 to find C

Answer 27

I got an odd number...

Answer 28

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

Answer 29

921.20/32.9 = ?

Answer 30

0.0357142857142857

Answer 31

other way around, big number divided by small number

921.20/32.9 = ?

Answer 32

28

Answer 33

ooooo thank you

Answer 34

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

Answer 35

thank you!

Answer 36

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

Answer 37

sure, I'll give it a shot

Answer 38

post a new question and tag me