Question

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?

Answer 1

Maya eceived `$24`

Explanation:

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`.