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Matematicianul4915
a fost răspuns

Cinci sarituri de ogar si 7 sarituri ale unei vulpi masoara 17 m.Doua sarituri ale unui ogar si 5 sarituri ale unei vulpi masoara impreuna 9 m.Ce distanta parcurge fiecare dupa 30 de sarituri

Răspuns :

  • [tex]\bf \blue{~30~m ~parcurge~ vulpea~}[/tex]
  • [tex]\bf \green{~60~m ~parcurge~ogarul~}[/tex]

Explicație pas cu pas:

[tex]\bf 2~ ogar.......5~ vulpe..........9 ~m~~~~ \bigg|\cdot5[/tex]    

[tex]\bf 5~ ogar.......7~ vulpe..........17 ~m~~~~ \bigg|\cdot2[/tex]

[tex]\bf ~~~[/tex]

[tex]\bf 10~ ogar.......25~ vulpe..........45 ~m[/tex]

[tex]\bf \underline{\bf 10~ ogar.......14~ vulpe..........34 ~m~~~~~~~~}(-)[/tex]

[tex]\bf 11~vulpe =11~~~~\bigg|:11[/tex]

[tex]\blue{\underline{~\bf saritura~ vulpe =1~m~}}[/tex]

[tex]\bf 30 \cdot 1~ m = \red{\underline{~30~m ~parcurge~ vulpea~}}[/tex]

[tex]\bf 2~ ogar + 5 \cdot 1 ~m = 9 ~m[/tex]

[tex]\bf 2 ~ogar = 9~m - 5~m[/tex]

[tex]\bf 2~ ogar = 4 ~m[/tex]

[tex]\green{\bf \underline{~saritura ~ogar = 2~m~}}[/tex]

[tex]\bf 30 \cdot 2~m = \red{\underline{~60~ m ~parcurge~ ogarul~}}[/tex]

==pav38==

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