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

112 tickets for adults and 63 tickets for children

Step-by-step 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