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

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?

mathmale · Answer

this being Algebra, you should choose letters, such as a and c, to represent the number of adults and the number of children attending the dinner.

How many people, including children, attend the dinner?
How much money, total, is taken in by those putting on the dinner?

How much does a child pay for a dinner?  That's a 'rate.'
The total paid by all of the children is $4c.
Can you come up with a similar equation that represents the total paid by the adults?

You should end up with 2 equations in two unknowns, a and c.

Write them here.

Then decide how you would solve this system of linear equations.

anonymous · Answer

@mathmale well when solving systems of equations its best to use x and y so 
x = adults 
y = children 
would it be...
6x + 4y = 212
for the first equation?

anonymous · Answer

By the way  I personally like solving by elimination. @mathmale

anonymous · Answer

please help!!!!!