Question

15. Divida 340 em partes inversamente proporcionais a 2, 4 e 10.

Answer 1

Boa noite

1/2 + 1/4 + 1/10 = 10/20 + 5/20 + 2/20 = 17/20

k = 340/17 = 20

as partes

p1 = 10k = 200
p2 =   5k = 100
p3 =   2k =   40 

Answer 2

x+y+z = 340
x/1/2=y/1/4=z/1/10=r

x+y+z =340
2x=4y=10z=r

2x/2=r
x=r/2
x=20/2
x=10

4y/4=r
y=r/4
y=20/4
y=5

10z/10=r
z=r/10
z=20/10
z=2

x+y+z = 340
r/2+r/4+r/10 =340
10r/20+5r/20+2r/20=340
17r=340
r=20