Question

A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as many pairs of blue pleated slacks as gray pleated slacks, and it sold twice as many pairs of gray non-pleated slacks as blue non-pleated slacks. If it sold 333 pairs of blue slacks and 225 pairs of gray slacks, how many pairs of blue non-pleated slacks did it sell?

Answer 1

Answer:

138 pairs

Step-by-step explanation:

The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:

$blue\ pleated = 5 * gray\ pleated$ (eq1)

The number of gray non-pleated is twice the number of blue non-pleated slacks, so:

$blue\ nonpleated = 2 * gray\ nonpleated$ (eq2)

The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:

$blue\ pleated + blue\ nonpleated = 333$ (eq3)

$gray\ pleated + gray\ nonpleated = 225$ (eq4)

If we add (eq1) and (eq2), we have:

$blue\ pleated + blue\ nonpleated = 5*gray\ pleated + 2*gray\ nonpleated$ (eq5)

Using (eq3) and (eq4) in (eq5), we have:

$333 = 2*225 + 3*gray\ pleated$

$gray\ pleated = 117/3 = 39$

From (eq1), we have:

$blue\ pleated = 5*39 = 195$

From (eq3), we have:

$blue\ nonpleated = 333 - 195 = 138$