Euros

Peter, Jane, and Thomas have € 550 together. Tomas has 20 euros more than Jane, and Peter € 150 less than Thomas. Determine how much each of them has.

Correct answer:

P =  90
J =  220
T =  240

Step-by-step explanation:

P+J+T=550 T=20+J P=T−150  J+P+T=550 J−T=−20 P−T=−150  Row2−Row1→Row2 J+P+T=550 −P−2T=−570 P−T=−150  Row3+Row2→Row3 J+P+T=550 −P−2T=−570 −3T=−720  T=−3−720​=240 P=−1−570+2T​=−1−570+2⋅ 240​=90 J=550−P−T=550−90−240=220  J=220 P=90 T=240

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