Question

Ex 8 , 9 , rezolvare , va rog eu mult !

Answer 1

8. a/3=b/2=c/5=k
a=3k, b=2k, c=5k
2a+b+3c=460
6k+2k+15k=460
23k=460
k=20
a=60, b=40, c=100

9. a/2=b/6=c/8=k
a=2k, b=6k, c=8k
a·b·c=768
2k·6k·8k=768
96k³=768
k³=8
k=2
a=4, b=12, c=16

Answer 2

a/3=b/2=c/5=k   (  notam rapoartele cu k)
⇒a/3=k⇒a=3k
b/2=k⇒b=2k
c/5=k⇒c=5k
dar 2a+b+3c=460, inlocuim pe a, b si c in functie de k
2·3k+2k+3·5k=460
6k+2k+15k=460
23k=460
k=20
a=3k=60
b=2k=40
c=5k=100
Exercitiul 9 se face la fel