George and Harriet shared some money in
the ratio 5: 3. George gave 2/3 of the money he received to Ivan.
Ivan received £30. How much money was
shared?

Respuesta :

Answer:

Step-by-step explanation:

Ivan got  30 pounds

That was 2/3 of what he had received.

2/3 x = 30            Multiply both sides by 3/2

2/3 x * 3/2 = 30*3/2

x = 45

The parts to be divided was 5 + 3 = 8 parts. So let x be the total amount of money.

5/8 = 45 / x           Cross Multiply

5x = 360               Divide by 5

x = 360 / 5

x = 72

Check

Let George's share = 5/8 * 72

Let George's share = 5*72/8 = 5*9 = 45 just as we said it should be.

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