Answer:
3.5 kg of Pennsylvania Jack and 1.5 kg of Cheddar
Step-by-step explanation:
Let C be the kg of cheddar cheese and P be the kg of Pennsylvania Jack cheese needed for the sampler.
We know that C is $12/kg and P is $11/kg.
We can say that the total cost for a cheese sampler would be:
12C + 11P = Total Cost
We need to find a 5 kg mixture:
C + P = 5 kg
that costs $ll.30/kg. The total cost would be: (5kg)($11.30/kg) = $56.50
C + P = 5 kg
Rearrange C + P = 5 kg to:
C = 5kg - P and then use this in the cost equation:
12C + 11P = $56.50
12(5 - P) + 11P = 56.50
60 - 12P + 11P = 56.50
-P = - 3.50
P = 3.50 kg
That means we have:
C + P = 5 kg
C + 3.50 = 5 kg
C = 1.50 kg
Check to see if these values work:
12C + 11P = $56.50
12(1.50) + 11(3.50) = 56.50?
18.00 + 38.50 = 56.50 YES
