Solution:
Let the number of youths tickets be

Let the number of adult tickets be

The price of each youth ticket is

The price of each adult ticket is

The total amount collected after sales is

The total number of tickets sold is

Step 1:
write out the equation to show the amount of money collected

Step 2:
Write out the equation to show the number of tickets sold

Step 3:
Solve the equations simultaneously
From equation (2) make x the subject of the formula to make equation 3

Step 4:
Substitute equation (3) in equation (1) in substitution method

Step 5:
Substitute y=24 in the equation (3)

Hence,
The number of youth tickets sold = x = 37
The number of adults tickets sold = y = 24