Number of adult tickets sold is 100 and number of children tickets sold is 150
Solution:
Let "c" be the number of childrens ticket sold
Let "a" be the number of adult tickets sold
Cost of 1 children's musical ticket = $ 2.00
Cost of 1 adult musical ticket = $ 3.50
Given that 250 tickets were sold
number of childrens ticket sold + number of adult tickets sold = 250
c + a = 250 ---- eqn 1
250 tickets were sold for a total of 650
So we can frame a equation as:
number of childrens ticket sold x Cost of 1 children's musical ticket + number of adult tickets sold x Cost of 1 adult musical ticket = 650
2c + 3.50a = 650 ---- eqn 2
Let us solve eqn 1 and eqn 2 to find values of "a" and "c"
From eqn 1,
c = 250 - a ----- eqn 3
Substitute eqn 3 in eqn 2
2(250 - a) + 3.50a = 650
500 - 2a + 3.50a = 650
1.5a = 150
a = 100
From eqn 1,
c = 250 - 100
c = 150
Thus number of adult tickets sold is 100 and number of children tickets sold is 150