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3 years ago

Dan, Ellen and Fred share some money in the ratio 4:7:9.

Mathematics

1 answer:

UkoKoshka [18]3 years ago

8 0

Answer:

Total Amount of money = £4800

Step-by-step explanation:

Let the shares of Dan, Ellen and Fred be 4x, 7x and 9x respectively.

According to the given information:

Amount received by Ellen = Amount received by Dan + £720

7x = 4x+720

7x-4x=720

3x = 720

x = 720/3

x = £240

now,

4x = 4*240 = £960

7x = 7*240 = £1680

9x = 9*240 = £2160

Total Amount = £960 + £1680 + £2160

Total Amount = £4800

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$\bf Step-by-step~explanation:$

We are given that BA is perpendicular to BD, so that must mean that m∠ABD is a right angle, or 90º. This means: (8x - 10) + (4x + 52) = 90º, since both of the angles add up to become a right angle. We have to solve for x in order to find m∠CBD.

PART 1

$\bf Step~1:$

Equation: (8x - 10) + (4x + 52) = 90

Let's add the like values together first.

$\bf 8x+4x=12x\\-10+52 = 42$

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$\bf Step~2:$

Let's subtract 42 from both sides of the equation to isolate the variable we are solving for, x. Our goal is to isolate it completely to get a value that is equal to x.

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