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Ivan and tanya share £150 in the ratio 4 : 1 work out how much more ivan gets compared to tanya.

Sagot :

Answer:

Ivan receives £120 more than Tanya.

Step-by-step explanation:

Total Money = £ 150

Ratio = 4:1

This means that Ivan gets 4x of £150 and Tanya gets 1x of £150.

Ivan's money = 4x

Tanya's money = 1x

Now, we know that total money is equal to the sum of Ivan's & Tanya's money.

Total money = Ivan's money + Tanya's money

£ 150 = 4x + 1x

£ 150 = 5x

150/5 = x

30 = x.

We have found the value of x, now we can substitute 30 in the place of x and find the money Ivan and Tanya get.

Ivan = 4x = 4×30 = £120.

Tanya = 1x = 1×3 = £30.

So, Ivan receives more money. But how much more? We can solve that by subtracting Tanya's money from the total amount.

Total amount - Tanya's money = 150 - 30 = £120.

So, Ivan receives £120 more than Tanya.

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