Question

750 tickets were sold for a game for a total of $1,312.50. If adult tickets sold for $2.00 and children's tickets soldfor $1.50, how many of each kind of ticket were sold?They sold_ adult tickets and _children's tickets.

Answer 1

Let x denotes the number of adult ticket sold and y denotes the number of chuldren ticket sold

We have a simultaneous equation

`\begin{gathered} x+y=750...........................(1) \\ \\ 2x+1.5y=1312.50..............(2) \end{gathered}`

So we solve

`\begin{gathered} From\text{ }(1) \\ x=750-y \\ \\ Substituting\text{ }x\text{ into \lparen2\rparen} \\ \\ 2x+1.5y=1312.50 \\ \\ 2(750-y)+1.5y=1312.50 \\ \\ 1500-2y+1.5y=1312.50 \\ \\ 1500-1312.50=0.5y \\ \\ 187.5=0.5y \\ \\ y=375 \\ \\ Then,\text{ }x=750-375 \\ \\ x=375 \end{gathered}`

They sold 375 adult tickets and 375 children tickets