Answer:
To express b in terms of c and m, we need to consider the cost of the nuts and their proportions in the mixture.
The cost of cashews is typically $4 per pound, the cost of Brazil nuts is $2 per pound, and the cost of macadamia nuts is $3 per pound. Since the client pays $300 for the mixture, we can set up an equation based on the cost:
4c + 2b + 3m = 300
Now, we need to isolate b in terms of c and m. First, let's rearrange the equation:
2b = 300 - 4c - 3m
Next, divide both sides by 2:
b = (300 - 4c - 3m)/2
Now, simplify the expression:
b = 150 - 2c - (3/2)m
So, the correct expression for b in terms of c and m is:
b = 150 - 2c - (3/2)m
None of the provided options matches this expression exactly, so the closest option is:
a) b = 100 - 4/3 (c+m)
But please note that this option is not the same as the derived expression and is not an exact match.
Explanation: