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A grocery store offers a cheese sampler that includes a pepper cheddar cheese that costs $16 per kilogram and pennsylvania jack that costs $12 per kilogram. how many kilograms of each were used to make a 5-kilogram mixture that costs $13.20 per kilogram?

Respuesta :

To get 5 - kilogram mixture, we have to use 1.5 kilograms of pepper cheddar cheese and 3.5 kilograms of Pennsylvania jack that cost $13.20

Given:

Pennsylvania jack cost = $12/kg

Pepper cheddar cheese cost = 16/kg

Here we have to find the 5 kg mixture's proportion.

So, let x be the proportion of  pepper cheddar cheese and it cost $16.

So, it can be written as, 16x.

The remaining part of Pennsylvania jack is 5 - x and it cost $12.

So, it can be represented as 12(5-x).

When we add these two we can get the 5 kg mixtures,

So,

16x+12(5-x)=5(13.20)

=>16x+60-12x=66

=>4x+60=66

=>4x=6

=>x=6/4

=>x=1.5

So, the value of Pennsylvania jack is 5 - x => 5 - 1.5 = 3.5

To know more about unitary method here

https://brainly.com/question/21648365

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