Nr a reprezinta 20% din nr b. Cat la suta din nra reprezinta numarul b? Cat la suta reprezinta a din a+b/

Răspuns :

[tex]a = \frac{20}{100} \times b[/tex]

[tex]a = \frac{2}{10} \times b[/tex]

[tex]a = \frac{1}{5} \times b[/tex]

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

[tex] \frac{x}{100} \times b = a[/tex]

[tex] \frac{x}{100} \times b = \frac{b}{5} [/tex]

[tex] \frac{bx}{100} = \frac{b}{5} [/tex]

[tex]5bx = 100b \: | \div 5b[/tex]

[tex]x = 20 [/tex]

[tex] \frac{y}{100} \times (a + b) = a[/tex]

[tex] \frac{y(a + b)}{100} = a[/tex]

[tex]y(a + b) = 100a [/tex]

[tex]y = \frac{100a}{a + b} [/tex]

[tex]y = \frac{100 \times \frac{b}{5} }{ \frac{b}{5} + b} [/tex]

[tex]y = \frac{ \frac{100b}{5} }{ \frac{b}{5} + \frac{5b}{5} } [/tex]

[tex]y = \frac{20b}{ \frac{b + 5b}{5} } [/tex]

[tex]y = \frac{20b}{ \frac{6b}{5} } [/tex]

[tex]y = 20b \times \frac{5}{6b} [/tex]

[tex]y = \frac{100b}{6b} [/tex]

[tex]y = \frac{50}{3} [/tex]

[tex]y = 16.(6)[/tex]

[tex]y = 16.66[/tex]