Question

Dadas as razões iguais x/2=y/5=z/8, achar x,y e z sabendo-se que 5x+2y+3z=440.

Answer 1

x/2 = y/5 = z/8

x/2 = y/5

y = 5x/2

x/2 = z/8

z = 8x/2

z= 4x

5x + 2y + 3z = 440

Substituindo os valores de y e z, vem:

5x + 2(5x/2) + 3(4x) = 440

5x + 10x/2 + 12x = 440

5x + 5x +12x = 440

22x = 440 

x = 440/22

x = 20

y = 5x/2

y = 5.20/2

y = 50

z = 4x

z = 4.20

z = 80

x/2 = y/5  = z/8

20/2 = 50/5 = 80/8

10 = 10 = 10