# 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.

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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.

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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