Question

En un barco, 1/7 del número de tripulantes se encarga del mantenimiento de la maquinaria, 2/7 de la cocina, 3/7 de las recámaras y pasillos, y los 18 restantes son oficiales

Answer 1

see the explanation

Explanation:

The question in English is

On a ship, 1/7 of the crew members maintain the machinery, 2/7 the kitchen, 3/7 the bedrooms and corridors, and the remaining 18 are officers

Let

x ----> members that maintain the machinery

y ---->members that maintain the kitchen

z ----> members that maintain bedrooms and corridors

w ----> members that are officers

T ----> total number of members

we know that

The total sum of the fractions must be equal to 1

`(1)/(7)+(2)/(7)+(3)/(7)+w=1`

`w=1-(6)/(7)`

`w=(1)/(7)`

Remember that

The number of officers is 18

so

`18=(1)/(7)T`

Find out the total number of members

solve for T

`T=18(7)=126\ members`

Find out the number of members that maintain the machinery

`x=(1)/(7)T`

`x=(1)/(7)(126)=18\ members`

Find out the number of members that maintain the kitchen

`y=(2)/(7)T`

`y=(2)/(7)(126)=36\ members`

Find out the number of members that maintain bedrooms and corridors

`z=(3)/(7)T`

`z=(3)/(7)(126)=54\ members`