a clothing company sells slacks that are either blue or gray and pleated or non - pleated. last month, the…

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?\n49\n88\n176\n245

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?\n49\n88\n176\n245

Answer

Explanation:

Step1: Define variables

Let $x$ be the number of gray pleated slacks, then the number of blue pleated slacks is $5x$. Let $y$ be the number of blue non - pleated slacks, then the number of gray non - pleated slacks is $2y$.

Step2: Set up equations based on total blue and gray slacks

For blue slacks: $5x + y=333$. For gray slacks: $x + 2y=225$.

Step3: Solve the system of equations

From the first equation $y = 333 - 5x$. Substitute $y$ into the second equation: $x+2(333 - 5x)=225$. Expand: $x + 666-10x=225$. Combine like terms: $- 9x=225 - 666=-441$. Solve for $x$: $x = 49$.

Step4: Find the value of $y$

Substitute $x = 49$ into $y = 333 - 5x$. $y=333-5\times49=333 - 245 = 88$.

Answer:

88