Question

nr a si b sunt invers proportionale cu 0,25 si 1,25. daca a+b =13 det a si b

Answer 1

Răspuns:

Explicație pas cu pas:

Answer 2

Salut.

a × 0,25 = b × 1,25

$\displaystyle{a \times \frac{25}{100}=b \times \frac{125}{100}}$

$\displaystyle{a \times \frac{1}{4}=b \times \frac{5}{4}}$

$\displaystyle{\frac{a}{4}=\frac{5b}{4}}$

a = 5b

a + b = 13

5b + b = 13

6b = 13

b = 13 ÷ 6

$\boxed{b=\frac{13}{6}}$

a = 13 - b

$\displaystyle{a = ^{6)}\frac{13}{1} -\frac{13}{6} }$

$\displaystyle{a = \frac{78}{6}-\frac{13}{6} }$

$\displaystyle{a = \frac{78-13}{6} }$

$\boxed{a=\frac{65}{6}}$

- Lumberjack25