Question

1)Cinci sarituri ale unui ogar si 7 ake unei vulpi masoara impreuna 17m.
Doua sarituri ale unui ogar si 5 sarituri ale unei vulpi masoara impreuna 9m.Ce distanta parcurge fiecare dupa 60 de sarituri.

Answer 1

5o+7v=17 I x2

2o+5v=9 I x5 si le scad(metoda reducerii)

25v-14v= 45-34

11v=11

v=1 m

o=9-5  :  2 =2 m

verific: 5*2+7=17 ok

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Deci dupa 60 sarituri avem

pt ogar: 60x2=120 m

pt vulpe: 60x1=60 m.

Answer 2

notam cu ,,x,, ogarul  si cu ,,y,, vulpea

5x.....7y....=17m  / *2

2x.....5y....= 9m  / *5

10x....14y....=34m

10x.....25y,,,=45m

25y-14y=54m-34m

11y=11m

y=11:11

y=1m

60:1=60m   => vulpea parcurge 60m dupa 60 de sarituri

2x.....5y*1m....=9m

2x.....5m.........=9m       =>

2x=9m-5m

2x=4m

x=4m:2

x=2m

60*2=120m parcurge ogarul dupa 60 de sarituri

verificare:

5*2m+7*1m=

=10m+7m

=17m

2*2m+5*1m=

=4m+5m

=9m