Tangerines 2508

Michael, Tono, Marek, and Julia have 48 mandarins. Michael has 12 tangerines more than Tono, and Julia has eight tangerines less than Marek. Determine how much each has.

Correct answer:

M =  26
T =  14
R =  8
J =  0

Step-by-step explanation:


M+T+R+J=48
M = 12+T
J = R-8
R = 8

J+M+R+T = 48
M-T = 12
J-R = -8
R = 8

Row 3 - Row 1 → Row 3
J+M+R+T = 48
M-T = 12
-M-2R-T = -56
R = 8

Row 3 + Row 2 → Row 3
J+M+R+T = 48
M-T = 12
-2R-2T = -44
R = 8

Row 4 - 1/-2 · Row 3 → Row 4
J+M+R+T = 48
M-T = 12
-2R-2T = -44
-T = -14


T = -14/-1 = 14
R = -44+2T/-2 = -44+2 · 14/-2 = 8
M = 12+T = 12+14 = 26
J = 48-M-R-T = 48-26-8-14 = 0

J = 0
M = 26
R = 8
T = 14

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