Tickets to a carnival are $5 for adults and $3 for children. If 215 people attended and $925 was collected, how many tickets were purchased for children?
Let the number of children = C, then:
The number of adults =215 - C
3C + 5[215 - C] = 925
3C + 1,075 - 5C = 925
-2C =925 - 1075
-2C = -150
C = -150 / -2
C =75 - Number of children, or number of tickets purchased by children.
215 - 75 = 140 adults, or adult tickets purchased.