Question

Jambalaya is a Cajun dish made from chicken, sausage, and rice. Simone is making a large pot of jambalaya for a party. Chicken costs $6 per pound, sausage costs $3 per pound, and rice costs $1 per pound. She spends $42 on 13 and a half pounds of food. She buys twice as much rice as sausage.

Using a system of equations, how much sausage will Simone use in her dish?
a.4.5 lb of sausage
c.6 lb of sausage
b.3 lb of sausage
d.12 lb of sausage

Answer 1

How many pounds of food is it?

Answer 2

i fixed it lol but its 13 and a half

Answer 3

@AnonymousBeast

Answer 4

@mathmate can you help with this one? i have no idea how to start it.

Answer 5

c=chicken,s=saussage,r=rice
ok?

Answer 6

what is c+s+r?

Answer 7

i think i figured it out thats why i closed it. but thank you very much again. (:

Answer 8

I can set up the system, I just cannot remember how to solve it. Sorry :/

Answer 9

So what did you get for your solution?

Answer 10

@alicatforever
So have you figured it out, and what is the problem, if there is any?

Answer 11

i cant remember if i put a or b but it was right

Answer 12

In that case, I will try to see which one you got:
c+s+r=13.5
since r=2s
so
c+3s=13.5 .....(1) (reduces 1 unknown)
For the cost
6c+3s+1(2s)=$42
6c+5s=42 .....(2)
Multiply (1) by 6
6c+18s=81
Subtract (2)
6c+5s=42
We get
13s=39
s=3
Substitute in 1
c+3(3)=13.5
c=13.5-9
=4.5
As you said, it's (A)

Answer 13

Sorry, it was B, 3 lbs of saussage.
We didn't even need to calculate chicken. lol