Euros

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

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

Row 2 - Row 1 → Row 2
J+P+T = 550
-P-2T = -570
P-T = -150

Row 3 + Row 2 → Row 3
J+P+T = 550
-P-2T = -570
-3T = -720


T = -720/-3 = 240
P = -570+2T/-1 = -570+2 · 240/-1 = 90
J = 550-P-T = 550-90-240 = 220

J = 220
P = 90
T = 240

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