Answer:
138 pairs
Step-by-step explanation:
The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:
[tex]blue\ pleated = 5 * gray\ pleated[/tex] (eq1)
The number of gray non-pleated is twice the number of blue non-pleated slacks, so:
[tex]blue\ nonpleated = 2 * gray\ nonpleated[/tex] (eq2)
The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:
[tex]blue\ pleated + blue\ nonpleated = 333[/tex] (eq3)
[tex]gray\ pleated + gray\ nonpleated = 225[/tex] (eq4)
If we add (eq1) and (eq2), we have:
[tex]blue\ pleated + blue\ nonpleated = 5*gray\ pleated + 2*gray\ nonpleated[/tex] (eq5)
Using (eq3) and (eq4) in (eq5), we have:
[tex]333 = 2*225 + 3*gray\ pleated[/tex]
[tex]gray\ pleated = 117/3 = 39[/tex]
From (eq1), we have:
[tex]blue\ pleated = 5*39 = 195[/tex]
From (eq3), we have:
[tex]blue\ nonpleated = 333 - 195 = 138[/tex]
