Question

Anybody know how to do this?


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?

Answer 1

Let x= adult price
y=child's price

Answer 2

How many adults and children?
X+y=?
Now do the prices
? x+4y= ?

Answer 3

let: x= adult price y=child's price--->therefore
x+y=212 and 6x+4y=1128---->therefore:x=212-y and y=212-x therefore since we know x and y, we substitute to get : 6(212-y)+4y=1128==>1272-2y=1128 therefore y=72

Answer 4

same steps for x.

Answer 5

or x+72=212
x=140