The ratio of the number of men to the number of
women working at Forms, Inc. is 7:2. Altogether there
are 360 workers at the company. How many of the
workers are women?

Answer:

280 men; 80 women.

Step-by-step explanation:

this task can be solved used system of two equation (note, it is not the only and shortest way):

1) if number of men is 'm', women is 'w' and ratio is 7:2, then it is possible to write the first equation: m/w=7/2;

if together there are 360, then it is possible to write the second equation of the system: m+w=360.

2) after item 1 it is possible to make up and solve the system:

[tex]\left \{ {{m/w=7/2} \atop {m+w=360}} \right. \ => \ \left \{ {{7w=2m} \atop {m+w=360}} \right. \ => \ \left \{ {{m=280} \atop {w=80}} \right.[/tex]

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