Problema Solution
The future homemakers club is making canvas tote bags and leather tote bags for a fundraiser. They will line both types of tote bags with canvas and use leather for the handles of both. For the canvas bags, they need 4 yards of canvas and 1 yard of leather. For the leather bags, they need 3 yards of leather and 2 yards of canvas. Their advisor purchased 56 yards of leather and 104 yards of canvas. Let c represent the number of canvas bags and let L represent the number of leather bags. Write a system of inequalities for the number of bags that can be made.
Answer provided by our tutors
Set up constraints on the two materials available. You need to express how much canvas material can be used for both canvas bags (4 per bag) and leather bags (2 per bag). Same for leather material. Then use an inequality to explain how the material is limited to what is available.
canvas used on canvas bags + canvas used on leather bags = 4c + 2L <= 104
leather for canvas bags + leather for leather bags = c +3L <= 56