Question

DAU COROANA PERSOANEI CARE REZOLVA EX 14 SI 17. VA ROG MULT AM MARE NEVOIE DE ACESTE 2 EXERCITII! PRIMITI 20 PUNCTE!!!!​

Answer 1

Explicație pas cu pas:

17

$\dfrac{a}{ \dfrac{3}{2} } = \dfrac{b}{ \dfrac{4}{3} } = \dfrac{c}{ \dfrac{5}{4} } = \dfrac{d}{ \dfrac{6}{5} } = \dfrac{a + b + c + d}{ \dfrac{3}{2} + \dfrac{4}{3} + \dfrac{5}{4} + \dfrac{6}{5}} =$

$= \dfrac{1268}{ \dfrac{3 \cdot 30 + 4 \cdot 20 + 5 \cdot 15 + 6 \cdot 12}{60}} = \dfrac{1260 \cdot 60}{317} = 240$

$\dfrac{a}{ \dfrac{3}{2} } = \dfrac{b}{ \dfrac{4}{3} } = \dfrac{c}{ \dfrac{5}{4} } = \dfrac{d}{ \dfrac{6}{5} } = 240$

$\dfrac{a}{ \dfrac{3}{2} } = 240 \implies a = 360$

$\dfrac{b}{ \dfrac{4}{3} } = 240 \implies b = 320$

$\dfrac{c}{ \dfrac{5}{4} } = 240 \implies c = 300$

$\dfrac{d}{ \dfrac{6}{5} } = 240 \implies d = 288$