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ZanzabumX [31]
2 years ago
12

The Davidson Winery is noted for its Regal Champagne. It takes the blending of 1,000 bushels of a mixture of two varieties of gr

apes to achieve the Regal specification of 12% alcohol content for its champagne. One of the two varieties of grape contains a 10% alcohol content and the other contains a 15% alcohol content. How many bushels of each variety are needed?
Mathematics
1 answer:
aniked [119]2 years ago
5 0

Answer: 600 bushels of 10% alcohol content and 400 bushels of 15% alcohol content.

Step-by-step explanation:

Let we add x quantity of 10% of alcohol content and y quantity of 15% alcohol content for making 12% of alcohol content mixture.

Then according to the question, 10% of x + 15 % of y = 12% of 1000

⇒ 0.1x + 0.15y = 120

⇒ 10x + 15y = 1200

⇒ 2x +3y  = 2400 -------- (1)

And, x + y = 1000

⇒ 2x + 2y = 2000 ---------(2)

Equation 1) - equation 2)

We get y = 400

By putting the value of y in equation 1),

⇒2x + 1200 = 2400

⇒ 2x = 1200

⇒ x = 600

Thus, he needs to mix 600 bushel of 10% of alcohol content with 400 bushels of 12% of alcohol content for getting 1000 bushels of 12% of alcohol content.




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Step-by-step explanation:

-24699              

 —————— = -24.69900  

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Reformatting the input :

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(1): "•" was replaced by "*".

(2): "*-5" was replaced by "*(-5)".

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Step by step solution :

Step  1  :

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           50  

Equation at the end of step  1  :

   829      62  562   281

 ((———•-5)•———)+——— ÷ ———

   100     100  100   50  

Step  2  :

           281

Simplify   ———

           50  

Equation at the end of step  2  :

   829      62  281   281

 ((———•-5)•———)+——— ÷ ———

   100     100  50    50  

Step  3  :

        281      281

Divide  ———  by  ———

        50       50  

3.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

281     281       281      50

———  ÷  ———   =   ———  •  ———

50      50        50      281

Equation at the end of step  3  :

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 ((——— • -5) • ———) +  1

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Step  4  :

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Simplify   ——

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Equation at the end of step  4  :

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   100         50      

Step  5  :

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Simplify   ———

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Equation at the end of step  5  :

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Step  6  :

Rewriting the whole as an Equivalent Fraction :

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Final result :

 -24699              

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Processing ends successfully

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