Question

The entire company went in together to buy lottery tickets. Inside the safe are two different types of lottery tickets. The Mega Million Tickets cost $5 each and the Scratch Off Tickets cost $2 each. They bought 60 tickets totaling $246. what are my x and y variables?x=y=

Answer 1

we have the following system

`\begin{gathered} \begin{cases}x+y=60 \\ 5x+2y=246\end{cases} \\ \end{gathered}`

where x is the number of mega million ticktets and y the number of scratch off tickets, so we have that y=60-x and we get that

`\begin{gathered} 5x+2(60-x)=246 \\ 5x-2x+120=246 \\ 3x=126 \\ x=(126)/(3)=42 \end{gathered}`

so they bought 42 mega million tickets and 18 scratch off