Writing and Solving Inequalities with Real-Life Scenarios

A school is planning a field trip. The cost per student is $15, and they want to keep the total cost under $300. Write an inequality to represent the number of students, s, that can attend the trip. What is the maximum number of students?

• 19

• 15

• 25

• 20

Maria has $50 to spend on books. Each book costs $8. Write an inequality to find out how many books, b, she can buy. How many books can she purchase at most?

• 10

• 8

• 6

• 4

A gym charges a monthly fee of $30 plus $5 for each class attended. If Sarah wants to spend no more than $100 in a month, write an inequality to represent the number of classes, c, she can attend. What is the maximum number of classes she can take?

• 14

• 16

• 12

• 10

Tom is saving money to buy a new bike that costs $250. He saves $20 each week. Write an inequality to show how many weeks, w, it will take him to save enough money. How many weeks will it take at minimum?

• 13

• 20

• 15

• 10

A concert venue has a seating capacity of 500. If each ticket costs $25 and they want to earn at least $10,000 from ticket sales, write an inequality to represent the number of tickets, t, they need to sell. What is the minimum number of tickets they must sell?

• 400

• 350

• 300

• 450

A recipe requires at least 3 cups of flour and 2 cups of sugar. If you have x cups of flour and y cups of sugar, write an inequality to represent the amounts needed. How much more flour or sugar do you need if you have 2 cups of flour and 1 cup of sugar?

• 3 cups of flour and 3 cups of sugar

• 0 cups of flour and 2 cups of sugar

• 1 cup of flour and 1 cup of sugar

• 2 cups of flour and 0 cups of sugar

A car rental company charges a flat fee of $40 plus $0.20 per mile driven. If a customer wants to spend no more than $100, write an inequality to represent the number of miles, m, they can drive. What is the maximum number of miles they can drive?

• 350

• 400

• 300

• 250

A charity event aims to raise at least $5,000. If each ticket sold is $50, write an inequality to represent the number of tickets, t, that need to be sold. How many tickets must be sold at minimum?

• 75

• 50

• 200

• 100

A store is having a sale where each item is discounted by $10. If the original price of an item is p, write an inequality to represent the price after the discount being less than $50. What is the maximum original price of the item?

• 60

• 50

• 40

• 70

A farmer has a budget of $1,200 to buy seeds. If each bag of seeds costs $30, write an inequality to represent the number of bags, b, he can buy. How many bags can he purchase at most?

• 30

• 20

• 50

• 40