Question

o numero 3360 foi dividido em 4 partes inversamente proporcionais aos numeros 2,4,8 e 10.Calcule as quantidades

Answer 1

a/1/2=b/1/4=c/1/8=d/1/10 ∴ a+b+c+d/1/2+1/4+1/8+1/10  

3360/20+10+5+4/40∴

3360/39/40

3360.40/39=134400/39

a/1/2=134400/39

a=134400/39.1/2=134400/78

b/1/4=134400/39

b=134400/39.1/4=134400/156

c/1/8=134400/39

c=134400/39.1/8=134400/312

d/1/10=134400/39

d=134400/39.1/10=134400/390

fazendo as somas temos 
a+b+c+d=1723,1+861,54+430,77+344,62
aproximadamente: 3360