Ask Question
11 September, 11:36

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?

+4
Answers (1)
  1. 11 September, 13:22
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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 ...” in 📘 Business if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers