Question

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

Answer 1

$x - nr. \: de \: maimute$

$\frac{2}{7} \times x = \frac{2x}{7} \: (maimute \: care \: se \: catara)$

$x - \frac{2x}{7} = \frac{7x}{7} - \frac{2x}{7} = \frac{7x - 2x}{7} = \frac{5x}{7} \: (rest)$

$\frac{3}{5} \times \frac{5x}{7} = \frac{15x}{35} = \frac{3x}{7} \: (maimute \: care \: fac \: tumbe)$

$\frac{2x}{7} + \frac{3x}{7} + 4 = x \: | \times 7$

$2x + 3x + 28 = 7x$

$5x + 28 = 7x$

$7x - 5x = 28$

$2x = 28$

$x = \frac{28}{2}$

$x = 14$