a distributor wants to make 1000 pounds of trail mix that is 8% raisins. He will use a mix that is 5% raisins and a mix that is 20% raisins. How many pounds of each should he use?

Answers

Answer 1

Answer:

200 pounds 20% raisins

800 pounds 5% raisins

Step-by-step explanation:

Let number of 5% be x

and number of 20% be y

x + y = 1000

Also;

5% of x + 20-% of y = 8% of 1000 pounds

= 0.05x + 0.2y = 80

From i , x = 1000-y

0.05(1000-y) + 0.2y = 80

50-0.05y + 0.2y = 80

0.15y = 30

y = 200

x = 1000 - y

= 1000-200 = 800

Answer 2

He will use 800 pounds for a mix that is 5% raisins and 200 pounds for a mix that is 20% raisins.

Given that,

A distributor wants to make 1000 pounds of trail mix that is 8% raisins.

He will use a mix that is 5% raisins and a mix that is 20% raisins.

We have to determine,

How many pounds of each should he use.

According to the question,

Let number of 5% raisins be x,

And number of 20% raisins be y.

Then,

He will use a mix that is 5% raisins + A mix that is 20% raisins = Distributor trail mix.

[tex]x + y = 1000[/tex]

And,

He will use a mix that is 5% raisins of x + and a mix that is 20% raisins of y =  1000 pounds of trail mix that is 8% raisins.

5% of x + 20% of y = 1000 of 8% raisins

[tex]0.05 x+ 0.20y = 80[/tex]

On solving both the equation,

[tex]x + y =1000\\\\x = 1000-y[/tex]

Substitute the value of x in the equation 2,

[tex]0.05 (1000-y) + 0.20y = 80\\\\0.05 \times 1000 - 0.05y + 0.20y = 80\\\\50 + 0.15y = 80\\\\0.15y = 80-50 \\\\0.15y = 30\\\\y = \dfrac{30}{0.15}\\\\y = 200[/tex]

Substitute the value of y in the equation 1,

[tex]x + y = 1000\\\\x + 200 = 1000\\\\x = 1000-200\\\\x = 800[/tex]

He will use x = 800 pounds a mix that is 5% raisins and y = 200 pounds for a mix that is 20% raisins.

Hence, He will use 800 pounds for a mix that is 5% raisins and 200 pounds for a mix that is 20% raisins.

To know more about Equations click the link given below.

https://brainly.com/question/18916524


Related Questions

A rectangular piece of plastic sheet measures 1m by 70cm.
find its cost at the rate of Rs. 80 per metre.​

Answers

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

Area of Rectangular sheet = 1m X 0.7 m = [tex] 0.7m^{2}[/tex] or [tex]70 cm^{2} [/tex]

Rate = Rs.80 per [tex] meter^{2} [/tex]

= [tex] 0.7m^{2} \times 80 = 56 [/tex]

hence, The cost will be Rs. 56 for the plastic sheet.

Step-by-step explanation:

Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m

Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2

Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm

Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2

Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2

Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter

Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter 2

Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter 2

Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter 2 = 0.7m^{2} \times 80 = 56 0.7m

Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter 2 = 0.7m^{2} \times 80 = 56 0.7m 2

Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter 2 = 0.7m^{2} \times 80 = 56 0.7m 2 ×80=56

Area of Rectangular sheet = 1m X 0.7 m = 0.7m^{2}0.7m 2 or 70 cm^{2} 70cm 2 Rate = Rs.80 per meter^{2} meter 2 = 0.7m^{2} \times 80 = 56 0.7m 2 ×80=56hence, The cost will be Rs. 56 for the plastic sheet.

The parabola opens upward has x = 2 as an axis of symmetry and contains the non -vertex points (1, 9) and (4, 27) write the equation in vertex form for this parabola .

Answers

Answer:

              f(x) = 6(x - 2)² + 3

Step-by-step explanation:

f(x) = a(x - h)² + k    - vertex form of the equation of the parabola with vertex (h, k)

"the parabola opens upward" means:  a>0

"the parabola has x = 2 as an axis of symmetry" means:  h = 2

so f(x) = a(x - 2)² + k

"the parabola contains the point (1, 9)" means:

9 = a(1 - 2)² + k

9 = a(-1)² + k

9 = a + k

k = 9 - a

"the parabola contains the point (4, 27)" means:

27 = a(4 - 2)² + k

so:

27 = a(2)² + 9 - a

27 = 4a + 9 - a

3a = 18

a = 6

and  k = 9 - 6 = 3

Therefore the vertex form for this parabola is:

                                      f(x) = 6(x - 2)² + 3

$25 with a 300% increase

Answers

Answer:

100 dollars

Step-by-step explanation:

So amount of increase = (300/100) * 25

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                                      = 75 dollars

Then the final amount = (25 + 75) dollars

                                  = 100 dollars

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Answers

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Here is a description of the book.
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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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a
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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Answers

Answer: She will earn 6 dollars in two years!

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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