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?
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!
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?
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M + J + T + G = 168
M+J+T => X
X + X/7 = 168 X = 147
Gabriel received => 168 - 147 = 21
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M + J + T = 147
J + T => Y
Y + 3Y/4 = 147 Y = 84
Matt received => 147 - 84 = 63
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J + T = 84
T + 2T/5 = 84 T = 60
Justin received => 84 - 60 = 24