3.05 Systems of linear inequalities
Interactive practice questions
Yreka Bakery makes two types of cookies: plain and iced. They have enough oven space to bake $15$15 dozen cookies each day. Each dozen iced cookies requires $0.8$0.8 pounds of icing. Yreka Bakery can make no more than $32$32 pounds of icing per day.
Let $x$x be the number of dozens of iced cookies and $y$y be the number of dozens of plain cookies.
Form a system of two inequalities relating $x$x and $y$y.
David's Pizza makes two types of pizzas: Vegan and Meat Lover's. Based on recent sales they know they will sell at least twice as many Meat Lover's Pizzas as they do Vegan Pizzas. David's Pizza can use $42$42 pounds of vegan cheese each day, and each Vegan Pizza requires $0.6$0.6 pounds of vegan cheese.
Throughout university, Jimmy works as a barista, getting paid $\$10$$10 per hour, and as a mentor getting paid $\$13$$13 per hour. The number of hours he works in each job can vary from week to week, but he never works more than $27$27 hours in total each week, and he needs to be able to at least cover his weekly expenses of $\$260$$260.
In a team crossfit competition, each team is to be made up of no more than $11$11 people. For a particular challenge, each team member must complete the course and the team’s total time in completing the course must be under $26$26 minutes. Women take on average $2.6$2.6 minutes and men take on average $2.5$2.5 minutes to complete the course.