Question

Tickets for a school play cost $4 for adults and $2 for students. At the end of the play, the school sold a total of 105 tickets and collected $360.

Use the system of equations you wrote to find the number of adult tickets sold and the number of student tickets sold.

Answer 1

x + y = 105
4x+2y=360

Answer 2

@AZ you are the only smart person I know that is smart

Answer 3

do you want to solve the system of equations by substitution, elimination or by graphing?

Answer 4

Umm. I need a (x, y) answer

Answer 5

yes, so we have to solve for x and for y and then we write the two numbers like (x, y)

Answer 6

Do you know what the substitution or elimination method is?

Answer 7

Not really. .-.

Answer 8

okay so we have 2 equations

let's solve the first equation for x

x + y = 105

if we subtract y on both sides, what do you get?

Answer 9

would it be -105x?

Answer 10

no

x + y = 105

we SUBTRACT y on both sides

so

x + y - y = 105 - y

what is y - y =

Answer 11

0

Answer 12

it's like saying I have 1 apple and I give away the apple, how many apples do I have

Answer 13

Good!

Answer 14

so

x = 105 - y

does that make sense?

Answer 15

yeah!

Answer 16

so now we substitute this equation into the other one

so we plug it back in

so we have

x = 105 - y

and

4x+2y=360

since x equals 105-y
then that means in the second equation where we have 'x', we can replace it with 105-y because they're the same thing so we get

4x + 2y = 360

4(105-y) + 2y = 360

can you distribute the 4 into the parenthesis?

Answer 17

im not sure i understand. do i do 4*105?

Answer 18

yeah that's part of it

so basically when we distribute, it's like

\( a(b-c) = ab - ac\)

so

\( 4(105 - y)\)

is going to be 4*105 - 4*y

does that make sense?

Answer 19

I think so. Would it be 420-4y?

Answer 20

perfect!

so now we have

420 - 4y + 2y = 360

what is -4y + 2y =

Answer 21

-6y?

Answer 22

oh my bad, its -2y

Answer 23

aha- there you go!

Answer 24

so, 420-2y=360

Answer 25

so we have

420 - 2y = 360

so now what do you get if you subtract 420 on both sides

Answer 26

-2y=(-60)

Answer 27

x=30?

Answer 28

bruh this was on my uesterdays hw

Answer 29

be careful, you switched from y to x

but yes y = 30

Answer 30

oh ok

Answer 31

so good job!!

and now that we know what y is, we can solve for x

we know that x + y = 105

so if y = 30 then what is x?

Answer 32

75?

Answer 33

you don't get this kind of collaboration in class that's for sure

Answer 34

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Ashtag
you don't get this kind of collaboration in class that's for sure
\(\color{#0cbb34}{\text{End of Quote}}\)
shush

Answer 35

so (75, 30)

Answer 36

\(\color{#0cbb34}{\text{Originally Posted by}}\) @ENHZ
75?
\(\color{#0cbb34}{\text{End of Quote}}\)

good job so x = 75 and y = 30

so write it as (x, y) now

Answer 37

\(\color{#0cbb34}{\text{Originally Posted by}}\) @ENHZ
so (75, 30)
\(\color{#0cbb34}{\text{End of Quote}}\)

splendid job :))

Answer 38

yay ty @AZ

Answer 39

poggies

Answer 40

took me long enough

Answer 41

No problem!

Answer 42

only took 45 replies

Answer 43

now its 45