Question

PART 1: Sam brings x burgers to the BBQ. his friends Mike brings 5 more than 2 times as many burgers as Sam did. together they brought 50 burgers. please write an equation to represent this situationPART 2: solve the equation you created in part 1 for xPART 3: how many burgers did Mike to the BBQ

Answer 1

The number of burger sam bought = x

Let the number of burgers for mike be = y

the equation for the total number of burgers will be

`x+y=50\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(\text{eqn 1)}`

Mike brought 5 more than 2 times as many burgers as sam will be represented as

`y=2x+5\ldots\ldots\ldots\ldots\ldots\ldots\ldots..(Eqn\text{ 2)}`

By substituting Eqn 2 in Eqn 1 we will have

`\begin{gathered} x+y=50 \\ x+2x+5=50 \\ 3x+5=50 \\ 3x=50-5 \\ 3x=45 \\ (3x)/(3)=(45)/(3) \\ x=15 \end{gathered}`

Therefore,

The value of x= 15

To calculate the number of burgers mike brought to the BBQ =y,

We will substitute the value of x in (Eqn 1) above