Question

Ticket for a high school football game were $8 for adults and $5 for students. A total of 1970 tickets were sold. The total sold ticket sales were $12,220.
How many adult and student tickets were sold?

Answer 1

let there be 'a' adults and 's' students
total tickets = tickets for adults and students = a+s = 1970
got this part ?

Answer 2

yes

Answer 3

do you know how to get other equation ?

Answer 4

no

Answer 5

wait would it be

Answer 6

8a+5s=12,220

Answer 7

yes! absolutely correct :)

Answer 8

now we have 2 equations and 2 unknowns
can you try to find a and s from these 2 equations ?

Answer 9

i'll get you started
a+s = 1970
so,
a= 1970 - s
right ?
plug this in 2nd equation
what do u get ?

Answer 10

yea i can do the rest now thanks

Answer 11

all i needed were how to get the first two equations from the word problem which im really bad at

Answer 12

really? good!
tell me what values you get so that i can verify them, if you want me to verify :)

Answer 13

ok let me do it real quick

Answer 14

and you're not bad at forming equations, you formed a difficult equation 8a+5s=12,220 correctly! ;)

Answer 15

lol thanks

Answer 16

and i am also quite sure, you'll give me 'a' and 's' values correctly! you seem smart :)

Answer 17

um would a=2350/3

Answer 18

you're quite close actually, how did you get that ?

Answer 19

@hartnn

Answer 20

that value of a is not correct...

Answer 21

yea i figured

Answer 22

wait let me try it another way

Answer 23

take your time :)

Answer 24

idk i keep getting the same answer 2350/3

Answer 25

ok, can you show me what u did ? i'll help you find the error

Answer 26

8a+5s=12,200
8a -8a

5s=-8a+12,200
/5 /5 /5

s=-8a/5 +2440

a -8a/5 +2440=1970
then just solve for a

Answer 27

a+s = 1970
right ?
so,
a +8a/5 +2440=1970
isn't it ?

Answer 28

yea

Answer 29

no -8a

Answer 30

hmm, yeah, its -8a/5 only

Answer 31

yea a-8a/5+2440=1970

Answer 32

3a/8 = 470
....
why go this complicated way? can i show you another way, which does not involve fractions ?

Answer 33

sure

Answer 34

a+s = 1970
so,
a= 1970 - s
right ?

Answer 35

plug this in 2nd equation, 8a+5s = 12220
what do u get ?

Answer 36

8(1970-s)+5s=12200

Answer 37

15760-8s+5s=12200

Answer 38

thats what i did the first time

Answer 39

and the end result would be 2350/3

Answer 40

15760 - 12220 = 3540 :)

Answer 41

im getting so confused now

Answer 42

15760-8s+5s=12200
15760 - 12220 = 8s-5s = 3s
3s = 3540
s=...

Answer 43

s=-1180

Answer 44

1180*

Answer 45

a=790

Answer 46

you are \(\huge \color{red}{\checkmark}\)

Answer 47

thanks

Answer 48

welcome ^_^
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