Question

impartim numarul 420 in parti invers proportionale cu 2,5 si 6
Va rog ajutatima dau coronita!!

Answer 1

|.  a/(1/2) = b/(1/5) = c/(1/6) = 420/(26/30) = 420·15/13 = 6300/13
a =1/2 ·6300/13 = 3150/13
b = 1/5 ·6300/13 = 1260/13
c = 1/6 ·6300/13 = 1050/13      3150/13 + 1260/13 + 1050/13 = 5460/13 = 420
||. daca partile sunt invers proportionale cu 2,5 si 6
a/(2/5) = b/(1/6) = 420 /(17/30) = 420·30/17 = 12600/17
a = 2/5 ·12600/17 = 5040/17
b = 1/6 ·12600/17 = 2100/17           5040/17 + 2100/17 = 7140/17 = 420