Question

At a play, 117 tickets were sold. Adult tickets cost 2.50 and children’s tickets cost 1.00. In all 243$ was taken in. How many of each kind of ticket were sold ?

Answer 1

Adult tickets = 84

Children tickets = 33

Explanation:

At a play 117 tickets were sold.

Adult's tickets (a) cost $2.50 each and,

Children's (c) tickets cost $1.00 each

Money collected = $243

This is the simultaneous equation formed:

a + c = 117 ... (i)

2.5a + c = 243 ... (ii)

Subtracting (ii) - (i) we get;

1.5a = 126

a = 126 ÷ 1.5 = 84

So there were 84 adult's tickets sold and 117 - 84 = 33 children's tickets sold.