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agasfer [191]
3 years ago
5

A coffee merchant sells three blends of coffee. A bag of the house blend contains 100 grams of Colombian beans and 100 grams of

French roast beans. A bag of the special blend contains 100 grams of Colombian beans, 300 grams of Kenyan beans, and 200 grams of French roast beans. A bag of the gourmet blend contains 100 grams of Colombian beans, 200 grams of Kenyan beans, and 300 grams of French roast beans. The merchant has on hand 14 kilograms of Colombian beans, 18 kilograms of Kenyan beans, and 26 kilograms of French roast beans. If he wishes to use up all of the beans, how many bags of each type of blend can be made?
Mathematics
1 answer:
Anni [7]3 years ago
3 0

Answer:

  • 65 bags of House Blend
  • 30 bags of Special Blend
  • 45 bags of Gourmet Blend

Step-by-step explanation:

Since we want to use all the beans, the constraints can be written as equations in h, s, and g, the numbers of bags of the House, Special, and Gourmet blends that can be made from existing stock. If units are 0.1 kg, then the equations are ...

  h + s + g = 140

  h +2s +3g = 260

       3s +2g = 180

__

Subtracting the first equation from the second gives ...

  s + 2g = 120 . . . . . . . derived fourth equation

Subtracting that from the third equation gives ...

  2s = 60

  s = 30

Then filling that back into the derived fourth equation, we have ...

  30 + 2g = 120

  g = (120 -30)/2 = 45

And substituting into the first equation gives ...

  h + 30 + 45 = 140

  h = 65

The merchant can use all of his beans making 65 bags of house blend, 30 bags of special blend, and 45 bags of gourmet blend.

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Two conditionals from each biconditional are

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<h3>How to write two conditionals from each biconditional?</h3>

A biconditional statement is represented as:

if and only if p, then q

From the above biconditional statement, we have the following conditional statements

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Using the above as a guide, the conditional statements from the biconditional statements are:

<u>Biconditional statement 30</u>

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3 0
1 year ago
What is 1/10 of an income of $97.50?
Rashid [163]
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5 0
3 years ago
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Your food costs are $5,500. Your total food sales are $11,000. What percent of your food sales do the food costs represent?
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Answer:

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What is the area of this figure?
s2008m [1.1K]

Step-by-step explanation:

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we only need to calculate all 3 areas and add them up for the total.

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in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.

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4 0
2 years ago
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Answer:

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