Răspuns :

Bună,:)

15)

[tex] \frac{4}{2} = 2[/tex]

[tex] \frac{6}{3} = 2[/tex]

[tex] \frac{12}{6} = 2[/tex]

16)

12 kg...............9 kg dulceață

4 kg ...............x kg dulceață

_________________________

[tex]x = \frac{4 \times 9}{12} = \frac{36}{12} = 3 \: kg \: (dulceata)[/tex]

17)

10 muncitori ...................7 zile

5 muncitori ..................... x zile

___________________________

[tex]x = \frac{5 \times 7}{10} = \frac{35}{10} = 3.5 \: zile[/tex]

10 muncitori ................ 7 zile

20 muncitori ............... x zile

[tex]x = \frac{20 \times 7}{10} = \frac{140}{10} = 14 \: (zile)[/tex]

18)

18 muncitori .................. 8 zile

16 muncitori .................. x zile

__________________________

[tex]x = \frac{16 \times 8}{18} = \frac{128}{18} = 7.1 \: (zile)[/tex]

19)

{a,b,c} d.p.{x,y,z}

[tex] \frac{a}{x} = \frac{b}{y} = \frac{c}{z} [/tex]

20)

{a,b}d.p.{2,3}

a+b=25

[tex] \frac{ a}{2} = \frac{b}{3} = k = > a = 2k \\ b = 3k[/tex]

2k+3k=25=>k=5=>a=10

b=15

21)

{a,b}d.p.{1/3;1/5}

a+b=56

[tex] \frac{a}{3} = \frac{b}{5} = k = > a = 3k \\ b = 5k[/tex]

8k=56=>k=7

a=21 b=35

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