Linear System Word Problems

Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?

• x/5.50 ≥ 5225

• 5.50x ≥ 5225

• x + 5.50 ≤ 5225 

• x - 5.50 ≤ 5225

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

• 57x + 72y ≥ 2700

• 57x + 72y > 2700

• 57x + 72y < 2700

• 57x + 72y ≤ 2700

Bob and Patrick are saving money to buy cheeseburgers. Bob saves $6 a week and started with $20. Patrick saves $8 and started with $10. How long will it take for Bob and Patrick to have the same amount of money saved?

• $5

• 5 weeks

• $50

• 50 weeks

Moana and Maui are traveling towards Te Fiti. Moana is 275 miles away and is decreasing 12 miles a day towards Te Fiti . Maui is 389 miles away and is decreasing 18 miles a day towards Te Fiti. How many days will it take for Moana and Maui to meet?

• 19 days

• 47 days

• 18 days

• 12 days

Minnie and Mickey are making cupcakes for the handy helpers. Minnie has already made 9 cupcakes. She can make 6 per hour. Mickey has already made 15 cupcakes and he can make 3 per hour. When will Mickey and Minnie have the same amount of cupcakes?

• 2 cupcakes

• 2 hours

• 21 hours

• 2 hours

Clark Kent and Louis Lane are trying to sell newspapers. Louis has already sold 20 and can sell them at a rate of 15 per day. Clark has sold 15 and can sell 20 per day. When will Clark and Louis sell the same amount?

• 1 day

• 1 newspaper

• 35 days

• 35 newspapers

New York City is a popular field trip destination.  This year the senior class at Addison Trail and the senior class at Willowbrook both planned trips there.  The senior class at Addison Trail rented and filled 5 vans and 12 buses with 330 students.  Willowbrook rented and filled 12 vans and 11 buses with 347 students.  Every van had the same number of students in it as did the buses.  How many students can a van carry?  How many students can a bus carry?

How should we label the variables for this problem?

• x = number of vans

  y = number of buses

• x = number of AT students

  y = number of WB students

• x = number of students in a van

  y = number of students in a bus

• y = 20

• y = 24

• y = 25

• y = 30

New York City is a popular field trip destination.  This year the senior class at Addison Trail and the senior class at Willowbrook both planned trips there.  The senior class at Addison Trail rented and filled 5 vans and 12 buses with 330 students.  Willowbrook rented and filled 12 vans and 11 buses with 347 students.  Every van had the same number of students in it as did the buses.  How many students can a van carry?  How many students can a bus carry?

• 25 students per van

  and

  6 students per bus

• 25 buses and 6 vans

• 6 buses and 25 vans

• 6 students per van

  and

  25 students per bus

Jenna sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Maggie sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

• Sugar Cookies $5

  Oatmeal Cookies $3

• Sugar Cookies $4

  Oatmeal Cookies $8

• Sugar Cookies $2

  Oatmeal Cookies $6

• Sugar Cookies $3

  Oatmeal Cookies $6