Classwork: Systems of Inequalities Word Problems

1) Suppose you buy flour and cornmeal in bulk to make flour tortillas and corn tortillas. Flour costs $1.50 per pound, and cornmeal costs $2.50 per pound. You want to spend less than $25 on flour and cornmeal, but you need at least 6 pounds altogether. Let x represent the pounds of flour, and let y represent the pounds of cornmeal.

a. Choose the 2 inequalities that represent this situation.

• Possible Solution
• Not a Solution

2) A seafood restaurant owner orders perch and salmon. Perch is $4/lb and salmon is $3/lb. He wants to buy at least 50 pounds of fish but cannot spend more than $240. Let x represent the pounds of perch, and let y represent the pounds of salmon.

a. Choose the 2 inequalities that represent this situation.

• Possible Solution
• Not a Solution

6) You'd like to see how many baseball and soccer games you can attend this Spring. Travel time for baseball games is 2 hours and soccer games is 1 hour. You would like to spend no more than 15 hours travelling to the games. In total, you would like to attend at least 8 games. Let x represent the number of baseball games, and let y represent the number of soccer games.

a. Choose the 2 inequalities that represent this situation.

• 4
• 7
• 1
• 2
• 3
• 5
• 6
• 8
• 9
• 10

• 0
• 7
• 1
• 2
• 3
• 5
• 6
• 8
• 9
• 4