Answer: There are 152 adults and 87 children.
Explanation:
Let x= Number of adults
y= Number of children
As per given, we have
x+y = 239 (i)
15x+5.50y= 2758.50 (ii)
Multiply 5.50 on both sides of (i) , we get
5.50x+5.50y=1314.5 (iii)
Subtract (iii) from (ii), we get
9.5x = 1444
⇒ x = 152
Put value of x in (i) , we get
152+y=239
⇒ y= 239-152
⇒ y= 87
Hence, there are 152 adults and 87 children.