Question

Imparte distanta de 1,275 km in parti direct proportionale cu numerele:7,5 si 17,5

Answer 1

1,275=1 intreg  275/1000= 1 intreg  11/40= 51/40
7,5=7 intregi 5/10= 7 intregi 1/2= 15/2
17,5=17 intregi 5/10= 17 intregi 1/2= 35/2

a+b=51/40

a,b   dp cu 15/2  ;35/2

15a/2=35b/2=k

15a=2k  =>a=  2k/15

35b=2k  =>b= 2k/35

2k/15 +2k/35=51/40  aducem la acelasi numitor  (21000)

2k*1400 +2k*600 =51* 525

2800k+1200k = 26775

4000k=26775

k=6,69

a=2*6,69/15= 13,38/15= 0,89

b=2*6,69/35= 13,38/35=  0,38