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?

Question

1556 views around the world

You can reuse this answer
Creative Commons License

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#.