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At a Basketball Game, adult tickets are 5$ and children's tickets are 2$. If 175 tickets were sold for 686$ in total. How many of each type of ticket were sold

User Shigeta
by
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1 Answer

4 votes

Answer:

112 tickets for adults and 63 tickets for children

Explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x: adult's tickets

let y: children's tickets

SW:

5 * x + 2 * y = 686

x + y = 175 => x = 175 - y

Replacing, we are left with that:

5 * (175 - y) + 2 * y = 686

875 - 5 * y + 2 * y = 686

- 5 * y + 2 * y = 686 - 875

-3 * y = -189

y = -189 / -3

y = 63

Now to calculate x:

x = 175 - 63

x = 112

It means that there were 112 tickets for adults and 63 tickets for children

User TheRealKingK
by
7.8k points
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