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2 years ago

Jane and Ken share some money in the ratio of 5:3

2 answers:

8 0

Jane and Ken share some money in the ration 5:3 Ken's share is $16 less than Jane's share. FInd each person's share.
The money is shared in the ratio 5:3
That means that Jane gets 5 parts of the total money and Ken gets three parts.
So then there are 8 parts of the money (5 + 3 = 8)
Jane has 2 parts more than Ken (5 - 3 = 2)
And those 2 parts are equal to $16 (the question says so)
So one part is equal to $8
Each person's share then is: Jane has 5 parts = $40, Ken has 3 parts = $24

dangina [55]2 years ago

4 0

Let Jane's share = x

Equation

5:3 :: x:(x - 16)

5/3 = x / (x - 16)

Solve

Cross multiply

5*(x - 16) = 3*x

5x - 80 = 3x Add 80 to both sides.

5x = 3x + 80 Subtract 3x from both sides.

5x - 3x = 80

2x = 80 Divide by 2

x = 80/2

x = 40

So Jane's share is 40 dollars and Ken's is 40 - 16 = 24 dollars<<< Answer

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Alecsey [184]

Answer:

S is closest to B.

Step-by-step explanation:

Given a directed line segment from point A to B.

Point P divides the line A to B in a ratio 3:4.

Point Q divides the line A to B in a ratio 4:3.

Point R divides the line A to B in a ratio 2:5.

Point S divides the line A to B in a ratio 5:2.

To find:

The point which is closest to the point B.

Solution:

Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.

We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.

Let the distance between A and B be 7 units.

Now, the distances can be found easily.

$PB = \dfrac{4}{7}\times 7 = 4\ units$

$QB = \dfrac{3}{7}\times 7 = 3\ units$

$RB = \dfrac{5}{7}\times 7 = 5\ units$

$SB = \dfrac{2}{7}\times 7 = 2\ units$

The point which has the minimum distance from point B, will be nearest to B.

We can clearly observe that SB is the minimum distance.

Therefore, <em>S is closest to B</em>.

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2 years ago

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ANTONII [103]

Answer:

Step-by-step explanation:

Use the basic simple interest formula:

P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:

P * r * t = I

Acct 1

Acct 2

If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other. We will fill those in along with the interest rates in decimal form and the time of 1 year:

P * r * t = I

Acct 1 x .04 1

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Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:

P * r * t - I

Acct 1 x .04 1 .04x

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The total Interest earned by the addition of the interest earned from both accounts is 69.50. So we add the interest column together and set it equal to 69.50:

.04x + .05(1500 - x) = 69.50 and

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-.01x = -5.5 so

x = 550

That's how much money is in the account earning 4% interest.

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2 years ago

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Hunter-Best [27]

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