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niste maimute se distreaza:2/7 se catara prin copaci,3/5 din rest fac tumbe,iar4 aplauda.Cate maimute erau?

Răspuns :

[tex]x - nr. \: de \: maimute[/tex]

[tex] \frac{2}{7} \times x = \frac{2x}{7} \: (maimute \: care \: se \: catara)[/tex]

[tex]x - \frac{2x}{7} = \frac{7x}{7} - \frac{2x}{7} = \frac{7x - 2x}{7} = \frac{5x}{7} \: (rest)[/tex]

[tex] \frac{3}{5} \times \frac{5x}{7} = \frac{15x}{35} = \frac{3x}{7} \: (maimute \: care \: fac \: tumbe)[/tex]

[tex] \frac{2x}{7} + \frac{3x}{7} + 4 = x \: | \times 7[/tex]

[tex]2x + 3x + 28 = 7x[/tex]

[tex]5x + 28 = 7x[/tex]

[tex]7x - 5x = 28[/tex]

[tex]2x = 28[/tex]

[tex]x = \frac{28}{2} [/tex]

[tex]x = 14[/tex]