Question

si m/2 = n/3 = p/6 ; 2m + n= 49 calcula el valor de p

Answer 1

Respuesta:

p = 42

Explicación paso a paso:                                 ;      pide:    2m + n = 49

=> m/2 = n/3 = p/6

=> 2(m/2) = 2(n/3) = 2(p/6)

=> m = 2n/3 = p/3

planteando el problema y usando las variables:

=> 2m + n = 49

=> 2(2n/3) + n = 49

=> 4n/3 + n = 49

=> 4n/3 + 3n/3 = 49

=> 7n/3 = 49

=> n/3 = 7

=> n = 21

VOLVIENDO A ESTO:

=> m = 2n/3 = p/3

usemos el valor que conseguimos "=> n = 21"

=> m = 2n/3 = p/3

=> m = 2(21)/3 = p/3

=> m = 42/3 = p/3

=> m = 14 = p/3

=> 14 = 14 = p/3

=> 14 = 14 = 42/3

=>p = 42