£510 is divided between Sarah, Gavyn & Alex so that Sarah gets twice as much as Gavyn, and Gavyn gets three times as much as Alex. How much does Gavyn get?
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Given,
Total money for distribution = £510
3 × Money of Alex = Gavyn's money
2× Money of Gavyn = Sarah's money
For, calculating the distributed amount of money among three of them,we have to take x (variable) as the amount of money recieved by Alex.
So,
Alex got = £ x
Gavyn got = 3 × x = £ 3x
Sarah got = 2 × 3x = £ 6x
Now, the total money = (x+3x+6x) = £ 10x
If we compare the value of total money given in the question,and the value of total money that we've calculated,then we will get the following mathematical equation.
10x = 510
x = 51
Alex got = £ 51
Gavyn got = 3 ×51 = £ 153
Sarah got = 153 × 2 = £ 306
Hence, Alex received £51, Gavyn recieved £153 and Sarah recieved £ 306.
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