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cluponka [151]
2 years ago
6

The ratio of shares owned by Michael and Noor is in the ratio 4:7 Michael gives Noor 3 of his shares then the ratio will be 7:15

. How many shares do they each have initially?​
Mathematics
1 answer:
allsm [11]2 years ago
8 0

Answer:

Michael 24

Noor 42

Step-by-step explanation:

Ratio is 4:7

The initial quatity is 4x and 7x

After giving 3 shares the quatities are

4x - 3 and 7x + 3

Set equal to the new ratio

(4x - 3) / (7x + 3) = 7 / 15

Cross multiply

15(4x - 3) = 7(7x + 3)

Distribute

60x - 45 = 49x + 21

Add 45 to both sides

60x = 49x + 66

Subtract 49x from both sides

11x = 66

Divide both sides by 11

x = 6

Therefor

4x = 4*6 = 24 <–––– Michael's initial quantity

7x = 7*6 = 42 <–––– Noor's initial quantity

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Sedbober [7]

Answer:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 13 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 13 is 100%, so we can write it down as 13=100%.

4. We know, that x is 100% of the output value, so we can write it down as x=100%.

5. Now we have two simple equations:

1) 13=100%

2) x=100%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

13/x=100%/100%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 100% of 13

13/x=100/100

(13/x)*x=(100/100)*x       - we multiply both sides of the equation by x

13=1*x       - we divide both sides of the equation by (1) to get x

13/1=x

13=x

x=13

now we have:

100% of 13=13

Step-by-step explanation:

Have A Wonderful Day !!

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3 years ago
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2 years ago
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V = 512 cm³

Therefore to completely fill a cube with edge length of 8 cm you would need 512 cubic centimetres.

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