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 Hope you understand this Math question. if you have more questions then Ask here.