Inequalities in Action: Solve Real-World Problems

A store sells notebooks for $2 each and pens for $1 each. If you want to buy at least 10 items and spend no more than $20, write an inequality to represent this situation and find the possible combinations of notebooks and pens you can buy.

• (5, 10)

• Possible combinations include: (0, 10), (1, 9), (2, 8), (3, 7), (4, 6), (5, 5), (6, 4), (7, 3), (8, 2), (9, 1), (10, 0).

• (10, 5)

• (0, 20)

Maria has $50 to spend on books. Each book costs $8. If she wants to buy at least 4 books, write an inequality to represent how many books she can buy and determine the maximum number of books she can purchase.

• 5

• 8

• 7

• 6

A gym charges a $30 membership fee plus $5 per class. If you want to spend no more than $100 this month, write an inequality to represent the number of classes you can attend and find the maximum number of classes you can take.

• 14

• 20

• 5

• 10

Tom is saving money to buy a new video game that costs $60. He saves $10 each week. If he wants to buy the game in less than 7 weeks, write an inequality to represent how much money he needs to save and determine if he can buy it in that time frame.

• Yes, he can buy the game in less than 7 weeks.

• No, he can buy it in exactly 7 weeks.

• No, he can only buy it in 8 weeks.

• Yes, he needs to save $70 to buy the game.

A school is planning a field trip and has a budget of $500. Each student ticket costs $15 and the bus rental is $200. Write an inequality to represent the maximum number of student tickets they can sell and find the maximum number of students that can attend the trip.

• 20

• 30

• 15

• 25

Lily is making gift baskets. Each basket costs $12 to make. If she wants to make at least 5 baskets but spend no more than $100, write an inequality to represent this situation and find the maximum number of baskets she can make.

• 8

• 6

• 12

• 10

A concert hall has a seating capacity of 300. If tickets are sold for $20 each and the total revenue must be at least $4000, write an inequality to represent the minimum number of tickets that must be sold and determine if the concert can be profitable.

• At least 100 tickets must be sold.

• At least 200 tickets must be sold.

• At least 250 tickets must be sold.

• At least 150 tickets must be sold.

A farmer has a budget of $200 to buy seeds. Each packet of seeds costs $15. If he wants to buy at least 10 packets, write an inequality to represent how many packets he can buy and find the maximum number of packets he can purchase within his budget.

• 20

• 13

• 15

• 10

A car rental company charges a flat fee of $50 plus $0.25 per mile driven. If you want to spend no more than $100, write an inequality to represent the maximum number of miles you can drive and determine how far you can go.

• 200 miles

• 150 miles

• 250 miles

• 300 miles

A charity event is selling tickets for $25 each. If they want to raise at least $2000, write an inequality to represent the minimum number of tickets they need to sell and find out how many tickets they must sell to meet their goal.

• 80

• 60

• 100

• 120