Real-Life Linear Inequalities: Finding Feasible Solutions

A school is planning a field trip and has a budget of $500. Each ticket costs $20. Write an inequality to represent the maximum number of tickets they can buy. How many tickets can they purchase?

• 25

• 15

• 20

• 30

Tags

CCSS.6.EE.B.8

Maria is making gift bags for a party. She has 30 candies and wants to put at least 3 candies in each bag. Write an inequality to find the maximum number of bags she can make. How many bags can she prepare?

• 15

• 10

• 20

• 5

A farmer has 120 feet of fencing to enclose a rectangular garden. If the length of the garden must be at least twice the width, write an inequality to represent the dimensions of the garden. What are the feasible dimensions?

• Width (w): 0 < w ≤ 30; Length (l): 2w ≤ l ≤ 50.

• Width (w): 0 < w ≤ 25; Length (l): 2w ≤ l ≤ 30.

• Width (w): 0 < w ≤ 15; Length (l): 3w ≤ l ≤ 45.

• Width (w): 0 < w ≤ 20; Length (l): 2w ≤ l ≤ 40.

A gym has a maximum capacity of 150 members. If they currently have 80 members, write an inequality to find the maximum number of new members they can accept. How many new members can join?

• 60

• 80

• 70

• 100

A concert hall has 200 seats. If 30% of the seats are reserved for VIPs, write an inequality to find the maximum number of general admission tickets that can be sold. How many tickets can be sold?

• 160

• 140

• 120

• 180

A bakery sells muffins for $2 each and cookies for $1 each. If they want to make at least $100 in one day, write an inequality to represent the number of muffins (m) and cookies (c) they need to sell. What are some feasible combinations?

• 3m + c <= 100

• m + 2c >= 100

• 2m + c >= 100

• m + c >= 50

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, write an inequality to represent the maximum number of miles they can drive. How many miles can they drive?

• 150 miles

• 200 miles

• 300 miles

• 250 miles

A local charity is collecting donations. They need at least $300 to fund their project. If each donation is at least $25, write an inequality to find the minimum number of donations needed. How many donations are required?

• 20

• 12

• 15

• 10

A bookstore is having a sale where each book costs $15. If a customer wants to spend no more than $120, write an inequality to find the maximum number of books they can buy. How many books can they purchase?

• 12

• 8

• 10

• 6

A sports team has a budget of $1,000 for new uniforms. If each uniform costs $75, write an inequality to determine the maximum number of uniforms they can buy. How many uniforms can they afford?

• 12

• 10

• 15

• 13