£440 is divided between David, Mark & Henry so that David gets twice as much as Mark, and Mark gets three times as much as Henry. How much does Mark get?

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iwillanswer iwillanswer · Answer 1 · 2020-01-25T05:16:35+01:00

Mark received £ 132

Solution:

Given that £440 is divided between David, Mark & Henry

Let "d" be the share of david

Let "m" be the share of mark

Let "h" be the share of henry

Total amount is 440

Therefore,

share of david + share of mark + share of henry = 440

d + m + h = 440 ------- eqn 1

David gets twice as much as Mark

d = 2m ----- eqn 2

Mark gets three times as much as Henry

m = 3h

[tex]h = \frac{m}{3}[/tex] ------ eqn 3

Substitute eqn 2 and eqn 3 in eqn 1

[tex]2m + m + \frac{m}{3} = 440\\\\\frac{6m + 3m + m}{3} = 440\\\\10m = 1320\\\\m = 132[/tex]

Thus Mark received £ 132