Please your problem can be modeled with the subsequent system:
3 a + 4 c = 121
2a + 3 c = 86
where a is the price of adult's ticket and c is the price of children's ticket
from first equation I get:
c = 121/4 - 3a/4
then substituting itnot the second equation I can write:
8a +363 - 9a =344
a = 19
c = 121/4 - 57/4 = 16
then price of adult's ticket = $19
price of children's ticket = $16
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