Answered

Discover new information and insights with the help of IDNLearn.com. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.

A grocery store offers a cheese sampler that includes a pepper cheddar cheese that costs $12 per kilogram and Pennsylvania Jack that costs $11 per kilogram. How many kilograms of each were used to make a 5-kilogram mixture that costs $11.30 per kilogram?

Sagot :

Rspill6idn

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

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.