Yosie, Maya, Noah & Datan shared $168. Datan received \frac{1}{7}

beyondthegametcm

beyondthegametcm

Answered question

2022-02-03

Yosie, Maya, Noah & Datan shared $168. Datan received 17 of the total amount of money received by Yosie, Noah & Maya. Yosie received 34 of the total amount of money received by Noah and Maya. Maya received 25 as much as Noah. How much did Maya receive?

Answer & Explanation

Rihanna Lester

Rihanna Lester

Beginner2022-02-04Added 12 answers

Suppose Maya received 2x.
As she received 25 as much as Noah, Noah must have received 5x and they together received 2x+5x=7x.
As Yosie received 34 of the total amount of money received by Noah and Maya, he must have received 34×7x=214x,
and all three Yosie, Noah and Maya together received
7x+214x=7×44x+214x=284x+214x=494x
As Datan received 17 of what Yosie, Noah and Maya together received. Hence Datan received 17×494x=74x
and all of them together received 494x+74x=564x=14x
Now as they together received $168,
14x=168,x=16814=12
Hence Maya eceived 2×12=$24.

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