Your questions is:
Divide the amount $650 among X, Y and Z such that X receives 1/3 of the amount what Y receives and Y receives 2/3 of the amount what Z receives. Calculate the amount received by X, Y and Z respectively.

It’s a very easy question for me please read my explanation of your question for better understanding.

According to the question,
Total amount = $650 …………………..i
Amount received by X = 1/3 of the amount received by Y ………….ii
Amount received by Y = 2/3 of the amount received by Z ………iii
We have to find the actual amount received by X, Y as well as Z.
Say the amount received by Z = 1.
∴ Amount received by Y = 2/3 * 1 = 2/3
And, from equation ii, we can say that,
Amount received by X = 1/3 (2/3) = 2/6.
∴ Ratios of the amount received by X, Y and Z respectively = 2/6:2/3:1 = 2:4:6
And, sum of the ratios = 2+4+6 = 12
∴ Amount received by X = (2/12) * 650 = 650/6 = $108.33 ………………iv
Amount received by Y = (4/12) * 650 = 650/3 = $216.66 ………..v
Amount received by Z = 6/12 * 650 = 650/2 = $325 ……………vi

So answer is :  $108.33, $216.66, $325

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