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

We're told that chicken costs $1.90/lb. How much would 2 lbs of chicken cost?
Now, how much would c pounds of chicken cost?

Answer 2

1.9c + 4.3(12 - c) = 34.8

Answer 3

i think

Answer 4

so D

Answer 5

Yep!
If we have two pounds of chicken, the cost would be
\[\frac{$1.9}{\text{pound of chicken}} \times \text{2 pounds of chicken} = $1.9 \times 2 = $3.8\]
So if we have "c" pounds of chicken, the cost would be
\[$1.9 \times \text{c}\]
Then the amount of meat that is not chicken (out of the total 12 pounds of meat) would be
\[12 - c \ \ \text{pounds of beef}\]
And the cost of beef, following what we did for the cost of chicken, would be
\[\frac{$4.3}{\text{pound of beef}} \times \left( 12 - c \ \text{pounds of beef}\right)\]

Answer 6

@amysparkly12 the answer's D