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Sundip and Emma have some money. The ratio of Sundip's money to Emma's money is 3:5. Emma spends £450 of her money. The ratio of Sundip's money to Emma's money is now 2:3.
Find how much money Sundip has.

(could you please show your working out) ​

Sagot :

Akabane009idn

Answer:

Sudip has 2700 euro.

Step-by-step explanation:

Let sudip's money and emma's money be 3x and 5x respectively,

Now,

By the question

3x : (5x - 450) = 2:3

or, 3x/(5x - 450) = 2/3

or, 9x = 10x - 900

or, 900 = 10x - 9x

so, x = 900

Now,

Sudip has = 3x = 3*900 = 2700 euro

Anuksha0456idn

Sundip has £2700 with him.

What are ratios?

Ratios are fractional relations between two quantities, showing the relation between them.

How do we solve the given question?

We are given the ratio of Sundip's money to Emma's money = 3:5.

So we let Sundip have money = £3x and Emma have money = £5x.

Now, Emma spends £450. So she is left with £(5x-450).

The new ratio of Sundip's money to Emma's money is given as 2:3 = 2/3.

Equating the fraction to the value we have,

2/3 = 3x/(5x-450).

Cross multiplying, we get:

2(5x-450) = 3*3x

or, 10x - 900 = 9x

Adding (900-9x) to both sides of the equation, we get:

10x - 900 + 900 - 9x = 9x + 900 - 9x

or, x = 900.

∴ Sundip have 3x money, or 3 * 900 = 2700.

∴ Sundip has £2700 with him.

Learn more about Ratio at

https://brainly.com/question/2784798

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