Question

Determine m,n e p na proporção m/1=b/4=c/13 sabendo que 12m+5b-2c=54

Answer 1

m/1=b/4=c/13
12m+5b-2c=54
m/1=m
12.b/4+5b-2c=54
3b+5b-2c=54
8b-2c=54

b/4=c/13
4c=13b
2c=6,5b
8b-6,5b=54
1,5b=54
b=54/1,5
b=36

2c=6,5b
2c=6,5.36
2c=234
c=234/2
c=117

12m+5.36-2.117=54
12m+180-234=54
12m-54=54
12m=54+54
12m=108
m=108/12
m=9