Question

como se faz essa conta? 2870 dividido inversamente proporcional a 2,3,7

Answer 1

a/(1/2) + b/(1/3) + c/(1/7) = 2870/(1/2+1/3+1/7) --> mmc (2,3,7) = 42
42:2 = 21
42:3 = 14
42:7 = 6

a/21 + b/14 + c/6 = 2870/(21+14+6)/42
a/21+b/14+c/6 = (a+b+c) / (21+14+6) = 2870/41 = 70
a/21 = 70 --> a = 21.70 --> a = 1470
b/14  = 70 --> b = 14.70 --> b = 980
c/6 = 70 --> c = 6.70 --> c = 420

Answer 2

K/2 + K/3 + K/7 = 2870

*mmc= 42

21K + 14K + 6K = 120540
41K = 120540
K= 120540/41
K= 2940

K/2 = 2940/ 2 = 1470
K/3 = 2940/3 = 980
K/7 = 2940/7 = 420


1470 + 980 + 420 = 2870.