Question

Tickets for the regional volleyball tournament went on sale at Lazy Creek High School on Monday. General admission tickets cost $6.00 each and reserved seating tickets cost $12.00 each. If 400 tickets were sold on Monday and the total ticket sales was $3150.00, how many of each type of ticket was sold?
Question 6 options:

a) general admission tickets=275; reserved seating tickets=125

b) general admission tickets=125; reserved seating tickets=275

c) general admission tickets=225; reserved seating tickets=175

d) none of these

Answer 1

so can u figure out the two equations you need?

Answer 2

what types of tickets are there?

Answer 3

General admission and reserved

Answer 4

ok lets let General admission be G and reserved be R. it says the total number of tickets sold was 400 can you model that in one equation?

Answer 5

g+r = 400???

Answer 6

good. now if general admission costs 6 bucks and reserved cost 12 bucks, can you model the formula to find out how much you make from selling g and d amounts of tickets?

Answer 7

6g + 12r = 3150.00????

Answer 8

see its not that hard :)

Answer 9

now solve the system together. i recommend substitution method since you have variables without numeric coefficients (numbers in front of them)

Answer 10

can you solve G+R=400 for G?

Answer 11

g = -r + 400

Answer 12

ok now plug that G into 6G+12R=3150

Answer 13

6(-r + 400) + 12r = 31500

Answer 14

solve for R

Answer 15

notice in your problem the answers all have different Rs (hint hint)

Answer 16

-6r + 2400 + 12r = 31500
6r + 2400 = 31500
6r = 29100
r = 4850

Uh. What did I do wrong???

Answer 17

its 3150 not 31500

Answer 18

....oh.

Answer 19

oops i should of caught that above my bad

Answer 20

r = 125

Answer 21

so what's the answer above?

Answer 22

wait. r = 750 doesn't make sense either....

Answer 23

no R = 125

Answer 24

G = 400-R what's G

Answer 25

I forgot to write down the divided part XDDD
g = 275

Answer 26

ok which answer above has G=275 and R= 125?

Answer 27

a!!!

Answer 28

:)

Answer 29

good explaining druminjosh :)

Answer 30

thanks @texaschic101

Answer 31

its because i'm from Texas too :)

Answer 32

XD