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Ray Of Light [21]
3 years ago
13

A Grocery store offers a cheese sampler that includes a pepper cheddar cheese that cost $15 per kilogram and Pennsylvania jack t

hat cost $11 per kilogram. how many kilograms of each were used to make a 6 kg mixture that cost $12 per kilogram
Mathematics
1 answer:
Len [333]3 years ago
4 0

Answer:

1.5 kg of pepper cheddar cheese and 4.5 kg of Pennsylvania jack was used in the mixture.  

Step-by-step explanation:

Pepper Cheddar cheese  = $15 per kilogram

Pennsylvania jack = $11 per kilogram

The cheese sampler includes a  Pepper Cheddar cheese and a Pennsylvania jack that cost $15 per kilogram and $11 per kilogram respectively.

The mixture = 6 kg

Let

a = kg of the pepper cheddar cheese

b = kg of the Pennsylvania jack

a + b = 6............(i)

Rate

15a + 11b/6 = 12

15a + 11b = 72.............(ii)

Combine the equation

a + b = 6............(i)

15a + 11b = 72.............(ii)

a = 6 - b

15(6 - b) + 11b = 72

90 - 15b + 11b = 72

90 - 72 = 15b - 11b

18  = 4b

divide both sides by 4

b = 18/4

b = 4.5 kg

insert the value of b in equation (i)

a + b = 6............(i)

a = 6 - 4.5

a = 1.5 kg  

1.5 kg of pepper cheddar cheese and 4.5 kg of Pennsylvania jack was used in the mixture.  

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4 years ago
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irina [24]

 

x=quantity of days

 

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We can cancel all $...

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It is just as important to cancel symbols as numbers.

Next, we isolate x.

We will begin by subtracting 31.75 from both sides...

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Let's check our numbers...

The original equation was...

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