The costs of 1 kg apples and 1 kg grapes are in the ratio of 9:7. The cost of 1 kg apples is Rs 20 more than the cost of 1kg grapes. Find the cost of 1 kg apples and 1 kg of grapes.

Answers

Answer 1

Answer:

Apple = Rs90

Grape = Rs70

Step-by-step explanation:

Given

Represent Apples with A and Grapes with G

Such that:

The ratio is

[tex]A : G =9:7[/tex]

And the price is

[tex]A = 20 + G[/tex]

Required

Determine the cost of 1 kg of each fruit

[tex]A : G =9:7[/tex]

Convert to fraction

[tex]\frac{A}{G} = \frac{9}{7}[/tex]

Cross Multiply

[tex]7A = 9G[/tex]

Make A the subject

[tex]A = \frac{9}{7}G[/tex]

Substitute [tex]\frac{9}{7}G[/tex] for A in [tex]A = 20 + G[/tex]

[tex]\frac{9}{7}G = 20 + G[/tex]

Collect Like Terms

[tex]\frac{9}{7}G - G = 20[/tex]

Take LCM

[tex]\frac{9G - 7G}{7}= 20[/tex]

[tex]\frac{2G}{7}= 20[/tex]

Multiply through by 7

[tex]7 * \frac{2G}{7}= 20 * 7[/tex]

[tex]2G= 20 * 7[/tex]

Divide through by 2

[tex]\frac{2G}{2} = \frac{20 * 7}{2}[/tex]

[tex]G = \frac{20 * 7}{2}[/tex]

[tex]G = 10 * 7[/tex]

[tex]G = 70[/tex]

Substitute 70 for G in [tex]A = \frac{9}{7}G[/tex]

[tex]A = \frac{9}{7} * 70[/tex]

[tex]A = 9 * 10[/tex]

[tex]A = 90[/tex]


Related Questions

(0,3) (0,0) (2,0) (6,-2) (0,5) (-2,6) Which of the points are solutions to the system? Select the 3 correct answers

Answers

The 3 correct answers are a c d

Find the x-intercept and y-intercept
from the following linear equation:
-7x+ 4y= 56
x- intercept ([?], [ ])
y - intercept ([ 1.[])

Answers

Answer:

y=14+ 7x/4

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Step-by-step explanation:

move all terms to the side that do not contain the variable.

Is it possible to buy a half of a ticket?

Answers

I don’t think so and if so you might spend less money but I don’t think that’s possible.

A=16.7
B=17
C=23
D=7

Answers

Answer:

17

Step-by-step explanation:

In this problem, you can use the Pythagorean Theorem to find the hypotenuse, which is x. The formula for the Pythagorean Theorem is:  [tex]a^{2} +b^{2}=c^{2}[/tex], where a and b are the two lengths of the triangle, and c is the hypotenuse (which is x).

Steps:

-We know the two sides already, which are 15 and 8, so we can substitute a and b into the equation:  [tex]15^{2} +8^{2}=c^{2}[/tex]  (the c is the same as x, just letting you know)

-Then, simplify the equation to get:  [tex]225+64=x^{2}[/tex] (I replaced c with x just so you can understand better that we are trying to find x, the hypotenuse)

-Add the 225 and 64 to get:  [tex]289=x^{2}[/tex]

-Find the square root of both sides to get x by itself:  [tex]\sqrt{289}=\sqrt{x^{2}[/tex]

-Evaluate the equation to get:  [tex]\sqrt{289} =x[/tex] which simplifies to [tex]17=x[/tex]

Answer: 17

Hope you understand and that this helps with your question! :)

Which of the following equations represent linear functions?
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Answers

B; because it needs to start with y=

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Answers

You mean 8 lol and 35

I need help with an explanation

Answers

Answer:

18

Step-by-step explanation:

First add what you do know: -2 + 9 = 7

Next, to find the answer subtract that from 25 to find what is left over and that is you answer!

25-7=18

Hope that helped!! :)

rocky thinks of an odd integer adds the next two consecutive integer which of these could be the sum

Answers

Answer:

C

Step-by-step explanation:

1. Let x be the odd integer. Let y be the sum.

x + (x + 1) + (x + 2) = y

3x + 3 = y

Adding two consecutive integers to an odd integer will result in an even integer.

So, you can eliminate choices B and D since they are odd.

Lastly, plug in choices A and C for y and choose the answer that makes x an integer.

Choice C would give you the correct result.

3x + 3 = 44562

3x = 44559

x = 14853

The odd integer and the two consecutive integers whose sum is 44,562 are 14,853, 14,854, and 14,855 respectively.

Let

Small odd integer = xNext consecutive integer = x + 1Next two consecutive integer = x + 2Sum of consecutive integers = 44,562

Sum:

x + (x + 1) + (x + 2) = 44,562

x + x + 1 + x + 2 = 44, 562

3x + 3 = 44,562

Subtract 3 from both sides

3x = 44,562 - 3

3x = 44,559

divide both sides by 3

x = 44,559 / 3

x = 14,853

Therefore, the odd integer and the two consecutive integers whose sum is 44,562 are 14,853, 14,854, and 14,855 respectively.

Learn more about consecutive numbers:

https://brainly.com/question/10853762

find the perimeter of the shaded figure.

Answers

Answer:

38

Step-by-step explanation:

Count the unit squares for each side, starting from the left it's 7, 10, 7, 2, 2, 6, 2, and 2

Now add them together:

7 + 10 + 7 + 2 + 2 + 6 + 2 + 2 = 17 + 9 + 8 + 4 = 26 + 12 = 38

Answer: 38 units

Step-by-step explanation: Perimeter is asking for the total length of all the sides that make up a figure. The top border is 10 units, the two outer sides are 7 each (14 in total), if you add all the downward facing edges you get another 10 units, and the two inside sides are 2 units each (4 in total).

10+14+10+4 = 38

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Answers

Answer:

Your y-intercept will be -6

Step-by-step explanation:

Answer:

- 6

Step-by-step explanation:

The y-intercept of a graph is the point on the graph where the line crosses the y-axis (vertical line). In this case, it was -6.

**please mark brainliest!!

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Answers

Answer:

400

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

3

Step-by-step explanation:

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Answers

Answer:

15 times.

Step-by-step explanation:

5 x 14 = 70 points

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

Mr. Smith is 81 years older than his grandson, Victor. In 3 years, Mr. Smith will be four times as old as Victor. How old is Victor now?

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B) 22 years old

C) 24 years old

D) 27 years old

Answers

I’m sure it’s 26 but I can’t find the answer here
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4x+12= x +84

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The "/" represent fractions not dividing

Answers

t=8w+w/2
i hope this helps :)

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Answers

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Answers

Answer:

hope it helps

Step-by-step explanation:

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Answers

Answer:

the answer is 14 so I need jdjdjrjrjrekeiwodbf jcjcix

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

c. (6, 3)

Step-by-step explanation:

subtract

3x + 6y = 36

3x - 6y =  0

12y = 36, y = 3

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Answer:

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

First, you want to find the change in the top collum, and then the bottom collum.

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And boom! there's ur answer!

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Answers

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Step-by-step explanation:

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Explanation:

Answer:

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Answers

Answer:

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Answer:

Therefore multiplying x by a number between 0 and 1 creates a horizontal stretch, which looks like a vertical compression. That is, the parabola will be shorter/wider

Step-by-step explanation:

hope it heped

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