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Matt, Justin, Tony and Gabriel shared $168. Gabriel received 1/7 of the amount of money received by Matt, Tony and Justin. Matt received 3/4 of the amount of money received by Tony and Justin. Justin received 2/5 as much money as Tony. How much did Justin receive?

 Aug 16, 2021
 #1
avatar+12222 
-1

 How much did Justin receive?

 

Hello DoctorOcopisMonOct!

 

Matt, Justin, Tony und Gabriel teilten sich 168 Dollar. Gabriel erhielt 1/7 des Geldbetrags, den Matt, Tony und Justin erhalten hatten. Matt erhielt 3/4 des Geldbetrags, den Tony und Justin erhalten hatten. Justin erhielt 2/5 so viel Geld wie Tony. Wie viel hat Justin erhalten?

 

\(g=\frac{168-m-t-j}{7}\\ (t+j)+\frac{3}{4}(t+j) +\frac{168-\frac{3}{4}(t+j) -(t+j)}{7}=168\\ (t+j)\ let\ a\)

\(a+0.75a+\frac{1}{7}(168-0.75a-a)=168\\ \frac{1}{7}(168-0.75a-a)=168-(a+0.75a)\\\)  error!

to be continued!

 Aug 16, 2021
edited by asinus  Aug 16, 2021
 #2
avatar+1486 
+1

Matt, Justin, Tony, and Gabriel shared $168. Gabriel received 1/7 of the amount of money received by Matt, Tony, and Justin. Matt received 3/4 of the amount of money received by Tony and Justin. Justin received 2/5 as much money as Tony. How much did Justin receive?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

M + J + T + G = 168

M+J+T => X

X + X/7 = 168             X = 147

Gabriel received =>    168 - 147 = 21

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

M + J + T = 147

J + T => Y

Y + 3Y/4 = 147           Y = 84

Matt received =>     147 - 84 = 63

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

J + T = 84

T + 2T/5 = 84            T = 60

 

Justin received =>     84 - 60 = 24  smiley 

 Aug 17, 2021

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