Homework - jumps

Sasha jumped 131 cm Peter 4 cm more than Jirka.
Jirka 6 cm less than Misha. Misha 7 cm less than Filip, and Filip is half as much as Sasha and Petr together. How far does each jump?

Correct answer:

S =  131 cm
P =  113 cm
J =  109 cm
M =  115 cm
F =  122 cm

Step-by-step explanation:

S=131=131 cm
P = 4+J  J = M−6  M = F − 7  F = (S+P)/2  F = (S+P)/2 = (4+J+S)/2 = (4+M−6+S)/2 = (4+F−7−6+S)/2 F = (4+F−7−6+S)/2 2F = 4+F−7−6+S F=4−7−6+S=4−7−6+131=122 cm M=F−7=122−7=115 cm  J=M−6=115−6=109 cm  P=4+J=4+109=113 cm

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