Solving Word Problems with Multi-Step Inequalities

A school is planning a field trip and has a budget of $500. Each student must pay at least $15, and the total cost for transportation is $200. Write an inequality to represent the maximum number of students that can attend the trip.

• x <= 25

• x <= 20

• x <= 30

• x <= 15

Maria wants to buy a new bike that costs $300. She has saved $120 and plans to save $20 each week. Write an inequality to determine how many weeks it will take for her to have enough money to buy the bike.

• w < 9

• w <= 10

• w > 8

• w >= 9

A local bakery sells cupcakes for $3 each. They want to make at least $150 in sales. Write an inequality to find out how many cupcakes they need to sell to meet their sales goal.

• x > 50

• x <= 50

• x >= 50

• x >= 30

Tom is saving money to buy a video game that costs $60. He currently has $25 and saves $5 each week. Write an inequality to find out how many weeks it will take him to save enough money for the game.

• w = 6

• w < 7

• w >= 7

• w <= 8

A gym charges a monthly fee of $40 and an additional $10 for each class attended. If a member wants to spend no more than $100 in a month, write an inequality to find out how many classes they can attend.

• x <= 6

• x <= 4

• x <= 10

• x <= 8

A concert venue has a seating capacity of 800. If each ticket costs $25 and they want to make at least $15,000 from ticket sales, write an inequality to determine the minimum number of tickets they need to sell.

• x ≤ 600

• x ≥ 700

• x < 600

• x ≥ 600

Lily is planning a party and has a budget of $200. She wants to spend no more than $50 on decorations and $10 per guest. Write an inequality to find out how many guests she can invite without exceeding her budget.

• g <= 10

• g <= 15

• g <= 20

• g <= 5

A farmer has 120 acres of land and wants to plant corn and wheat. He needs at least 30 acres for corn and wants to plant no more than 80 acres of wheat. Write an inequality to represent the possible combinations of corn and wheat he can plant.

• x + y = 120, x ≥ 20, y ≤ 70

• x + y ≥ 120, x ≤ 30, y ≥ 80

• x + y ≤ 120, x ≥ 30, y ≤ 80

• x + y < 120, x ≤ 30, y ≤ 100

A bookstore is having a sale where each book costs $12. If a customer wants to spend no more than $60, write an inequality to find out how many books they can buy.

• x < 5

• x <= 4

• x >= 6

• x <= 5

A charity event aims to raise at least $1,000. If they have already raised $400 and plan to host a bake sale where each item sells for $5, write an inequality to determine how many items they need to sell to reach their goal.

• x <= 120

• x < 120

• x >= 120

• x > 120