Question

Your club is selling tickets for a game. On Monday the club sold 3 adult tickets and 1 child ticket for a total of $38.

On Tuesday the club sold 3 adult tickets and 2 child tickets for a total of $52. Find the price of a child ticket and an adult ticket.

Answer 1

you have to set up 2 equations. the first one would be

3a + 1c = 38

can you come up with the equation for the second part?

Answer 2

yes

Answer 3

okay, what do you get

Answer 4

3a+2c=52

Answer 5

okay, so you have:

3a + 1c = 38
3a + 2c = 52

you can use the elimination method or substitution, your choice

Answer 6

im not real good at those

Answer 7

just pick one

Answer 8

elimination

Answer 9

okay, so if we use the elimination method, we can eliminate 3a pretty easily from both equations by multiplying the entire first one by -1

Answer 10

what would that give you?

Answer 11

-3a-1c=-38

Answer 12

good, so now you have:

-3a-1c=-38
3a + 2c = 52

now add the equations together:
-3a-1c=-38
+
3a + 2c = 52

Answer 13

what do you get?

Answer 14

2c=14

Answer 15

1c

Answer 16

sry

Answer 17

yes, c = 14

Answer 18

so now that we know, c = 14, substitute c = 14 back in for c in the top equation

Answer 19

kk

Answer 20

3a + 1(14) = 38

Answer 21

3a=26

Answer 22

38 - 14 = 24

Answer 23

3a=8

Answer 24

3a = 24
a = 8

Answer 25

lol thats what i meant :)

Answer 26

ok good. we found a and c, we're done

Answer 27

thx

Answer 28

yw

Answer 29

i got more