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
[tex]\frac{1}{7}+\frac{2}{7}+\frac{3}{7}+w=1[/tex]
[tex]w=1-\frac{6}{7}[/tex]
[tex]w=\frac{1}{7}[/tex]
Remember that
The number of officers is 18
so
[tex]18=\frac{1}{7}T[/tex]
Find out the total number of members
solve for T
[tex]T=18(7)=126\ members[/tex]
Find out the number of members that maintain the machinery
[tex]x=\frac{1}{7}T[/tex]
[tex]x=\frac{1}{7}(126)=18\ members[/tex]
Find out the number of members that maintain the kitchen
[tex]y=\frac{2}{7}T[/tex]
[tex]y=\frac{2}{7}(126)=36\ members[/tex]
Find out the number of members that maintain bedrooms and corridors
[tex]z=\frac{3}{7}T[/tex]
[tex]z=\frac{3}{7}(126)=54\ members[/tex]
