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£30 pocket money is split between three people. Sally gets twice the amount of Rob, and Malik gets three times more than Rob.

(a) How much money does each person get?

Answer :

Final answer:

Rob receives pocket money of approximately £4.29, Sally gets double that amount, which is approximately £8.58, and Malik gets four times Rob's amount, which is approximately £17.16, totaling £30 when combined.

Explanation:

To solve the pocket money problem, we must first understand that the money is split between Sally, Rob, and Malik, with the amounts they receive being in a certain ratio. Sally gets twice the amount of Rob, and Malik gets three times more than Rob, which means he gets three times plus what Rob gets.

Let the amount Rob gets be represented by 'R'. Therefore, Sally gets '2R' and Malik gets '4R' (since he gets thrice more, which is equivalent to three times plus the amount Rob gets, making it four times Rob's amount).

The total pocket money is £30, so the equation based on their shares would be:
R + 2R + 4R = £30
7R = £30
To find the value of 'R', we divide both sides by 7:
R = £30 / 7
R = £4.29 (rounded to two decimal places).

Now, we can calculate each person's share:
Rob: £4.29
Sally: 2 × £4.29 = £8.58
Malik: 4 × £4.29 = £17.16 (rounded to two decimal places).

Keep in mind these values are approximate due to rounding the division of £30 by 7. Exact values should be calculated if higher precision is needed.

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