Question

A child's train ticket costs $x. An adult's ticket costs (x+5).
Claudia buys 11 tickets. She spends $24 on children's tickets and $24 on adults tickets. Write down an equation in x and solve it to find the cost of a child's ticket.
(24 / x) + [24 / (x + 5)] = 11

24(x + 5) + 24 x = 11 x (x + 5)

48 x + 120 = 11 x^2 + 55 x

11 x^2 + 7 x - 120 = 0

find x by factoring or quadratic equation

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