Question

Adult tickets for a play cost 25$ each and childrens tickets cost 15$ each. The total receipts were $7,200 and the total attendance was 400. How many adults and how many children attended? plzz help!

Answer 1

set up the two equations. do you know what they are

Answer 2

hmm not really

Answer 3

two unknowns. call them x and y
they represent?

Answer 4

the adults and the children right?

Answer 5

yes and we know how many total attended. that would be the sum of the two.
we also know how much each ticket cost and how much total money was brought in. call adults x and children y. can you get the two equations yet?

Answer 6

hmm x+25=400? and y+15=400?

Answer 7

x+y=400, the number of adults+children=400
25x+15y=7200, the adult tickets cost $25 and the children cost $15, and the total moey brought in by all tickets is $7200. making sense?

Answer 8

*money

Answer 9

o yea now it does now wat do we do?

Answer 10

eliminate one of the variables. to do this you can add/subtract multiples of equations or solve for one variable in terms of the next. 2 equations, 2 unknowns.

Answer 11

ok im getting it alittle bit of it

Answer 12

use the simplest equation to find x in terms of y and a constant. plug that value of x into the second equation, for x. this gives you an equation with only y and constants. solve for y, plug that y value into the equation for x.

Answer 13

ok so wat would it be?

Answer 14

so i would plug 400 on the equation 25x+15y=7200?

Answer 15

x=400-y
25(400-y)+15y=7200
solve this for y, then plug that value of y into:
x=400-y

Answer 16

ok let me do it and c wat i get

Answer 17

when you are done, x and y should add up to 400 and 25x+15y should be 7200, if we did it right

Answer 18

for y i get 13 am i right?

Answer 19

25*400-25y+15y=7200
-10y=7200-25*400

Answer 20

so it would be 10-y=-2800? am i right

Answer 21

-10

Answer 22

-10y, but yes. now y=?

Answer 23

280 positive right?

Answer 24

correct, the negatives on both sides cancel.
x=400-y

Answer 25

it would be 120 right?

Answer 26

then verify that 25(120)+15(280)=7200.

Answer 27

yes it does =)

Answer 28

Nice job

Answer 29

thank you!!!

Answer 30

your welcome.