Răspuns:
a+b+c=38
(a,b,c)ip(4,5,2)=> 4a=5b=2c=k
4a=k deci a=k:4
5b=k deci b=k:5
2c=k deci c=k:2
k:4 + k:5+ k:2= 38 inmultim cu 20 si ne da 5k+4k+10k=760=> k=40=> a=10;b=8;c=20
sper ca te ajuta
Răspuns:
Explicație pas cu pas:
Notez numerele cu a, b si c:
[ a; b; c ] i.p. [ 4; 5; 2]
=> a/(1/4) = b/(1/5) = c/(1/2) = k -> coeficient de proportionalitate
=> a/(1/4) = k => 4 a = k => a = k/4
b/(1/5 ) = k => 5 b = k => b = k/5
c/(1/2) = k => 2 c = k => c = k/2
___________________________
a + b + c = 38
k/4 + k/5 + k/2 = 38 [ × 20
5 k + 4 k + 10 k = 38 × 20
19 k = 38 × 20 [ : 19
k = 2 × 20 ⇒ k = 40
_____________________
a = k/4 = 40/4 => a = 10
b = k/5 = 40/5 => b = 8
c = k/2 = 40/2 => c = 20
