Anybody know how to do this?Medal will be given!

At an all-you-can-eat barbecue fundraiser that you are sponsoring, adults pay 6$ for a dinner and children pay 4$ for a dinner. 212 people attend and raise 1128$. What is the total number of adults and the total number of children attending. (using systems of equations.
a. what is a system of equations that you can solve this problem?

b.what method would you use and why?

Question

Anybody know how to do this?Medal will be given!


At an all-you-can-eat barbecue fundraiser that you are sponsoring, adults pay 6$ for a dinner and children pay 4$ for a dinner. 212 people attend and raise 1128$. What is the total number of adults and the total number of children attending. (using systems of equations. 
a. what is a system of equations that you can solve this problem?

b.what method would you use and why?

maddieprough · Answer

Try dividing 212 from $1,128 and then add 6 and 4 to that number evenly distibuted :)

mathmale · Answer

Megan:  I responded earlier and gave you hints on how to get started.  Were you not able to use that information?  Why re-post your math problem?

anonymous · Answer

@maddieprough I have to use systems of equations to solve

anonymous · Answer

@mathmale I didn't get what you were saying so I just reposted it and btw i go by meg.

anonymous · Answer

Hey!!! We have the same name!

Anyways, let's get started on your question!

We need to make a system of equalities!

mathmale · Answer

If "a" adults pay $65 each for dinner, what will the total revenue be (expressed algebraically, not with numbers)?

If "c" children pay $45 each, what will be the total revenue?

anonymous · Answer

system of equations**

anonymous · Answer

yes we do, but i go by meg.

mathmale · Answer

If there are "a" adults and "c" children,  how would you express the total number of people at the dinner, algebraically?

anonymous · Answer

Like I said I thought it was x + y = 212 and 6x and 4y = 1128

anonymous · Answer

Ok, meg!

We need to make 2 equations from the information you were given!

The two equations you made are perfect!

anonymous · Answer

There right?

anonymous · Answer

why would you chnage it to that?
@mathmale

anonymous · Answer

x + y = 212
6x + 4y = 1128

So, we just need to keep in mind that

x = adults
y = children

anonymous · Answer

I like solving by elimnation so...
-4x -4y = -848
6x + 4y = 1128

anonymous · Answer

2x=280

anonymous · Answer

x = 140?

anonymous · Answer

Correct :)

anonymous · Answer

140+ y = 212
-140         -140
           y = 72?

anonymous · Answer

And correct again, Meg! :D

anonymous · Answer

Thanks! just like reassurance on these problems!

anonymous · Answer

Great job! :)