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

Answer:

see the explanation

Step-by-step 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

$\frac{1}{7}+\frac{2}{7}+\frac{3}{7}+w=1$

$w=1-\frac{6}{7}$

$w=\frac{1}{7}$

Remember that

The number of officers is 18

so

$18=\frac{1}{7}T$

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

$x=\frac{1}{7}T$

$x=\frac{1}{7}(126)=18\ members$

Find out the number of members that maintain the kitchen

$y=\frac{2}{7}T$

$y=\frac{2}{7}(126)=36\ members$

Find out the number of members that maintain bedrooms and corridors

$z=\frac{3}{7}T$

$z=\frac{3}{7}(126)=54\ members$