A total of 700 tickets were sold for a game for a total of $3420. If adult tickets sold for $7 each and child tickets cost $3 each, how many of each kind of ticket were sold?

330 tickets sold to adults

370 tickets sold to children

Explanation:

Suppose:

Number of Tickets

Adult = A

Child = C

According to given condition

A + C = 700 (Eq 1)

7A + 3C = 3,420 (Eq 2)

By multiplying (Eq 1) with 3 we get

3A + 3C = 2,100 (Eq 3)

By subtracting (Eq 3) from (Eq 1)

7A + 3C - (3A + 3C) = 3,420 - 2100

7A - 3A + 3C -3C = 1320

4A = 1320

A = 1320/4

A = 330

Putting value of A in (Eq 1)

330 + C = 700

C = 700 - 330

C = 370

Check:

(7x330) + ( 3x370) = 3420

2310 + 1110 = 3420

3420 = 3420