Question

Porcentaje l
procedimiento
si no saben no respondan​

Answer 1

Explicación paso a paso:

1)

$\dfrac{a - b}{100} \times \dfrac{a + b}{ {a}^{2} - {b}^{2} } = \\ \\ \dfrac{ {a}^{2} - {b}^{2} }{100( {a}^{2} - {b}^{2}) } = \dfrac{1}{100}$

2)

$\dfrac{20}{100} a = b$

$\dfrac{x}{100} (a - b) = a + b \\ \\ \dfrac{x}{100}(a - \dfrac{20}{100} a) = a + \dfrac{20}{100} a \\ \\ \dfrac{x}{100} \times \dfrac{80a}{100} = \dfrac{120a}{100} \\ \\ \dfrac{80x}{100} = 120 \\ \\ x = \dfrac{120 \times 100}{80} = 150$

3)

$\dfrac{40}{100} x + 21 = x \\ \\ 21 = x - \dfrac{40}{100} x\\ \\ 21 = \dfrac{60}{100} x \\ \\ x = \dfrac{21 \times 100}{60} = 35$

4)

$\dfrac{60}{100} a = \dfrac{80}{100} b \\ \\ a = \dfrac{80 \times 100}{100 \times 60} b = \dfrac{4}{3} b$

$\dfrac{x}{100} (a + 2b) = 2a - b \\ \\ \frac{x}{100}( \frac{4}{3} b + 2b) = 2 \times \dfrac{4}{3} b - b \\ \\ \dfrac{x}{100} \times \dfrac{10b}{3} = \dfrac{5}{3} b \\ \\ \dfrac{x}{10} = 5 \\ \\ x = 50$

5)

$\dfrac{x}{100} q + q = p \\ \\ \dfrac{x}{100} q = p - q \\ \\ x = \dfrac{100(p - q)}{q}$