Grade 9 Linear Equation Word Problems Challenge

A school is organizing a field trip. The cost for each student is represented by the equation 3x + 5y = 150, where x is the number of students and y is the cost per student. How many students can attend if the total budget is $150?

• 50

• 100

• 75

• 30

Tags

CCSS.HSF.LE.B.5

Two friends are selling lemonade and cookies. The total revenue from lemonade sales is represented by the equation 2x + 3y = 60, where x is the number of lemonade cups sold and y is the number of cookie boxes sold. If they sold 10 cookie boxes, how many lemonade cups did they sell?

• 10

• 15

• 20

• 5

A company produces two types of gadgets. The profit from selling x gadgets of type A and y gadgets of type B is given by the equation 4x + 6y = 240. If they sold 20 gadgets of type B, how many gadgets of type A did they sell?

• 35

• 25

• 30

• 40

Tags

CCSS.8.EE.C.8C

In a concert, the ticket sales can be modeled by the equation 5x + 10y = 300, where x is the number of adult tickets and y is the number of child tickets sold. If 20 child tickets were sold, how many adult tickets were sold?

• 25

• 20

• 15

• 30

A farmer has two types of crops. The total area used for crops is represented by the equation 2x + 3y = 100, where x is the area for crop A and y is the area for crop B. If the area for crop B is 20 acres, how much area is used for crop A?

• 50 acres

• 10 acres

• 20 acres

• 30 acres

Tags

CCSS.HSF.IF.A.2

A bookstore sells novels and textbooks. The total sales can be represented by the equation 15x + 20y = 600, where x is the number of novels sold and y is the number of textbooks sold. If they sold 10 textbooks, how many novels did they sell?

• 26

• 20

• 15

• 30

Tags

CCSS.HSF.IF.A.2

A gym offers two types of memberships. The total revenue from memberships is given by the equation 30x + 50y = 1200, where x is the number of basic memberships and y is the number of premium memberships. If they sold 10 premium memberships, how many basic memberships were sold?

• 15

• 23

• 5

• 30

A bakery sells cakes and pastries. The total sales can be modeled by the equation 12x + 8y = 240, where x is the number of cakes sold and y is the number of pastries sold. If they sold 10 pastries, how many cakes did they sell?

• 13

• 10

• 20

• 15

A car rental service charges a flat fee plus a per-mile charge. The total cost can be represented by the equation 50 + 0.25x = 200, where x is the number of miles driven. How many miles can be driven for a total cost of $200?

• 400

• 700

• 600

• 500

Tags

CCSS.7.EE.B.4A

A charity event sells tickets for a dinner. The total revenue from ticket sales can be modeled by the equation 25x + 40y = 1000, where x is the number of adult tickets and y is the number of child tickets sold. If they sold 15 child tickets, how many adult tickets were sold?

• 10

• 20

• 25

• 16