this is a question on Geochemistry. I’ve answered the question but my answer was

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this is a question on Geochemistry. I’ve answered the question but my answer was

this is a question on Geochemistry. I’ve answered the question but my answer was wrong and I got this feedback from my teacher so I would be grateful if you could help me solve it correctly with an explanation. this is my answer and the feedback. please do not use AI or Chegg to answer the question because they provide wrong answers.
The question :
the calculation of the Sm/Nd elemental ratio of the depleted upper mantle
and continental crust, assuming the depleted mantle 143Nd/144Nd = 0.5131 and
Continental Crust (CC) 143Nd/144Nd = 0.5118, and age of extraction from CHUR
=2.5 billion years.
The feedback:
:You use the chondritic earth values to calculate what the initial 143/144Nd is at 2.5 Ga. Then, since both mantle and crust started from that point, that point becomes your 143/144Nd(o).
So now, you know your initial [143/144Nd(o)], and you know present day MORB (0.5131) and Crust (0.5118). The only unknown you have left in the equation is the 147Sm/144Nd of DMM and Crust reservoirs. Solve for that, and then you calculate from the parent daughter ratio the elemental Sm/Nd ratio. You cannot have the same Sm/Nd answer for both DMM and Crust; they are different reservoirs.

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