a. In a football match, tickets for children and adults were sold at D3.00 and D5.00 respectively. if 400 people attended a football match and D1700.00 was collected in ticket sales. How many tickets were sold to adults?
b. Mr Johnson sold 250 tickets. If 175 of the tickets were for adults, how much sales did he make altogether?
Explanation
let x = number of tickets sold to children and y = number of tickets sold to adults.
Given:
x + y = 400 ...................................................i
3x + 5y = 1700 ..............................................ii
from Eqn(i)
x = (400 - y) .........................(iii)
put (400 - y) into Eqn ii
3(400 - y ) + 5y = 1700
1200 - 3y + 5y = 1700
1200 + 2y = 1700
2y = 1700 - 1200
2y = 500
y = \(\frac{500}{2}\)
y = 250
Therefore, the number of tickets sold to adults is 250
b. Total number of tickets Mr. Johnson sold = 250
Number of tickets he sold to adults = 175
Then, the number of tickets he sold to children = 250 - 175 = 75
The price of a ticket for an adult is D5.00 and for a child is D3.00
Total sales = 175(5) + 75(3) = 875 + 225 = D1,100.00