Inequalities in Action: Solve Multi-Step Scenarios

1. Sarah has $50 to spend on school supplies. If she buys notebooks for $3 each and pens for $2 each, how many notebooks and pens can she buy if she wants to spend less than $50?

• 5 notebooks and 20 pens

• 17 notebooks and 1 pen

• 10 notebooks and 10 pens

• Sarah can buy 16 notebooks and 0 pens, or 15 notebooks and 2 pens, or other combinations that total less than $50.

2. A concert hall has a seating capacity of 500. If tickets are sold for $20 each and the total revenue must be greater than $8,000, how many tickets must be sold?

• 300

• 500

• 450

• 401

3. A gardener is planting flowers in a rectangular garden. If each flower costs $2 and the total cost must be less than $100, how many flowers can the gardener plant?

• 49

• 25

• 60

• 75

4. A car rental company charges a base fee of $30 plus $0.50 per mile driven. If a customer wants to keep their total cost under $100, how many miles can they drive?

• 120

• 100

• 150

• 139

5. A school is organizing a field trip and has a budget of $1,200. If each student pays $15 and the total number of students must be more than 60, how many students can attend?

• 90

• 70

• 100

• 80

6. A bakery sells cupcakes for $2 each and cookies for $1 each. If a customer wants to spend less than $30, how many cupcakes and cookies can they buy?

• The customer can buy various combinations of cupcakes and cookies as long as the total cost is less than $30.

• The customer must spend exactly $30.

• The customer can buy 30 cookies and no cupcakes.

• The customer can only buy 15 cupcakes.

7. A fitness center charges a monthly fee of $25 plus $5 for each class attended. If a member wants to keep their total monthly cost under $100, how many classes can they attend?

• 12

• 14

• 10

• 16

8. A bookstore is having a sale where each book costs $10. If a customer wants to buy books but spend less than $80, how many books can they purchase?

• 7

• 3

• 10

• 5

9. A local theater sells tickets for $15 each. If a group wants to buy tickets for a show but spend no more than $300, how many tickets can they buy?

• 25

• 20

• 15

• 30

10. A pet store sells fish for $5 each and aquariums for $20 each. If a customer wants to spend less than $100, how many fish and aquariums can they buy?

• (10 fish, 5 aquariums)

• The customer can buy combinations of fish and aquariums such as (19 fish, 0 aquariums), (15 fish, 1 aquarium), (10 fish, 2 aquariums), (5 fish, 3 aquariums), or (0 fish, 4 aquariums).

• (0 fish, 5 aquariums)

• (20 fish, 0 aquariums)