Please help me out with math! I need to get this done before my mom comes home.?
The owner of an organic fruit stand also sells nuts. She wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound. How much of each kind of nut should she include in the mixed bag?
A) Cashews: 0.10 lb.; peanuts: 0.40 1b.
B) Cashews: 0.42 lb.; peanuts: 0.08 1b.
C) Cashews: 0.40 lb.; peanuts: 0.10 1b
D) Cashews: 0.27 lb.; peanuts: 0.23 1b.
E) Cashews: 0.23 lb.; peanuts: 0.27 1b.
F) Cashews: 0.08 lb.; peanuts: 0.42 1b
- GuantanamoGeorgeLv 76 months ago
Ash did everything right except attaching the proper letter to the answer. It's F not B.
- AshLv 76 months ago
Lets say you need c lb of cashewnuts and p lb of peanuts
So total weight of nuts needed is ½ lb or 0.5 lb
c+p = 0.5
c = 0.5 - p ....(1)
As for value of nuts, we need...
$5.50c + $2.30p = $1.40 ( Notice that $2.80 is for 1 lb , while we need ½ lb, so $1.40)
plug in value of c from (1)
5.50(0.5-p) + 2.30p = 1.40
2.75 - 5.50p + 2.30p = 1.40
- 3.20p = -1.35
p = 0.42 lb
plug in (1) to get c = 0.5 - 0.42 = 0.08 lb
Answer : B
- 6 months ago
The answer is B???