Yosie, Maya, Noah & Datan shared $168. Datan received 1/7 of the total amount of money received by Yosie, Noah & Maya. Yosie received 3/4 of the total amount of money received by Noah and Maya. Maya received 2/5 as much as Noah. How much did Maya receive?

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Answer 1 · 2016-09-29T06:20:48

Maya eceived $$24$

Suppose Maya received $2x$ .

As she received $2/5$ as much as Noah, Noah must have received $5x$ and they together received $2x+5x=7x$ .

As Yosie received $3/4$ of the total amount of money received by Noah and Maya, he must have received $3/4xx7x=21/4x$ ,

and all three Yosie, Noah and Maya together received $7x+21/4x=(7xx4)/4x+21/4x=28/4x+21/4x=49/4x$

As Datan received $1/7$ of what Yosie, Noah and Maya together received. Hence Datan received $1/7xx49/4x=7/4x$

and all of them together received $49/4x+7/4x=56/4x=14x$

Now as they together received $$168$ ,

$14x=168$ , $x=168/14=12$

Hence Maya eceived $2xx12=$24$ .