Q9. - Algebra 2

Question

9.The students is the future Homemaker club are making canvas tote bag and leather tote bags for a money making project. They will line both type of tote bags with canvas and use leather for the handle of both bags .For the canvas tote bags, they need 4 yards of canvas and 1 yard of leather for the leather tote bags, they need 3 yard of leather and 2 yard of canvas their faculty advisor has purchased 56 yard of leather and 104 yard of canvas.

Step-by-Step Solution

Answer

The system of inequalities to represent the number of tote bags that can be produced is$c+3l\le 56$ and $4c+2l\le 104$

Step1-Apply the concept of the formation of constraint

c=no of canvas tote bags

l=no of leather bags

Now, for each canvas tote bags they required 4 yard of canvas and 1 yard of leather, and for each leather bags they required 3 yard of leather and 2 yard of canvas

Step 2- form an in equation from the given detail

Total leather=56  yards

Total canvas=104 

Step 2- form the inequalities

$c+3l\le 56$

Canvas constraint:$4c+2l\le 104$

Where$l\ge 0$ and $l\ge 0$