Question

Marimi invers proportionale. Sa impart nr. 3804 cu 0,(6);0,75;0,8;0,(8).

Answer 1

0,(6)=6/9=2/3
0,75=75/100=3/4
0,8=8/10=4/5
0,(8)=8/9
2x/3=3y/4=4z/5=8w/9=k
x=3k/2
y=4k/3
z=5k/4
w=9k/8
3k/2 + 4k/3 + 5k/4 + 9k/8 = 3804
Numitor comun 24
36k+32k+30k+27k=3804·24
125k=91296 =>k=91296/125 (eu cred ca s-a strecurat o greseala cand ai scris marimile cu care trebuie sa fie invers proportionale...)
=>x=(3·91296)/250= 1095,552
=>y=(4·91296)/375=   973,824
=>z=(5·91296)/500=   912,960
=>w=(9·91296)/1000=821,664