Question

Si: a/3 = b/5 = c/2 Además a + b + c = 150. Calcular: 3a + 5b + 2c

Answer 1

Respuesta:

3a + 5b + 2c  570

Explicación paso a paso:

por propiedad de las proporciones

a/3 = b/5 = c/2 = (a+b+c)/(3+5+2)

a/3 = b/5 = c/2 = 150/10

a/3 = b/5 = c/2 = 15

• a/3 = 15

a = 15 , 3

a = 45

• b/5 = 15

b = 15 . 5

b = 75

• c/2 = 15

c = 15, 2

c = 30

• 3a + 5b + 2c =

3 . 45 + 5 .75 + 2 . 30 =

135 + 375 + 60 = 570

Answer 2

Respuesta:

570

Explicación paso a paso:

a/3 = b/5 = c/2

Ponle la constante k:

a + b + c = 150

3k + 5k + 2k = 150

10k = 150

k = 150/10

k = 15

a = 3k = 3(15) = 45

b = 5k = 5(15) = 75

c = 2k = 2(15) = 30

Calcular: 3a + 5b + 2c

3(45) + 5(75) + 2(30)

135 + 375 + 60

570