Question

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?

Answer 1

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.