Question

Jenna buys 12 lb of meat. Some of the meat is chicken and costs $1.90/lb. The rest is beef, which costs $4.30/lb. She spends a total of $34.80.

Which equation models this situation?

Let c represent the number of pounds of chicken she buys.


A.
(1.9 + 4.3)(12 - c) = 34.8

B.
4.3c + 1.9(c + 14) = 34.8

C.
4.3c + 1.9(12) = 34.8

D.
1.9c + 4.3(12 - c) = 34.8

Answer 1

Ok, this one is quite tricky. I will tell you that the answer is D. but it will come with an explanation. We have 12 pounds total of meat, but we know the weight of neither the chicken nor the beef, only what they cost per pound. So the cost of the chicken plus the cost of the beef is a total of 34.80. The cost of the chicken is 1.9, so the expression for the cost per pound of chicken is 1.9c. Now, we know that the total weight is 12 pounds, so we add in to the equation the fact that beef is 4.3 per pound. BUT we don't know how much beef we have, so we have to take the pounds of beef away from the original 12 pounds minus the pounds of chicken, which is 12 - c. So our equation is 1.9c + 4.3(12-c)=34.80. That means that chicken at 1.90 per pound, added to beef at 4.30(12-the pounds of chicken) = the total spent, 34.80.

Answer 2

WOOOOOW

Answer 3

I know, but that's the answer, and unfortunately, that's how it is found. Best explanation I could give.

Answer 4

well thanks

Answer 5

You're welcome.

Answer 6

ty for the medal!

Answer 7

lol