Tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. in the high season, 1200 people come to the zoo every day. on a certian day, the total revenue at the zoo was $5300. for every 3 teenagers, 8 children went to the zoo. how many adults went to the zoo?
a.
100 adults
c.
200 adults
b.
150 adults
d.
250 adults

C/t=8/3, c=8t/3

a+c+t=1200, using c from above:

a+8t/3 +t =1200

3a+8t+3t=3600

11t+3a=3600

t=(3600-3a)/11   and from earlier we said c=8t/3, and using this with t we just found:

c=(28800-24a)/33

5300=6a+5t+4c, using c and t from earlier

5300=6a+(18000-15a)/11+(115200-96a)/33    make the common denominator 33...

174900=198a+54000-45a+115200-96a

57a=5700

a=100

So 100 adult tickets were sold.

  

The volume is 2212m cubed