Inequality Word Problems

Keith had $500 in a savings account at the beginning of the summer. He wants to have AT LEAST $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents Keith's situation? 

• 25x - 500 ≥ 200
• 500 - 25x ≥ 200
• 500 + 25x ≥ 200
• 500 - 25x ≤ 200

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride. Which inequality represents Katie's situation? 

• .65m - 1.75 ≤ 10
• .65m + 1.75 ≥ 10
• .65m + 1.75 ≤ 10
• .65m - 1.75 ≥ 10

A band recently returned from a successful 3-city tour where they played to at least 120,000 people. If they had an audience of 45,000 in Houston and another 33,000 in Austin, and an unknown amount attended their San Antonio concert. Which inequality describes the situation? 

• 45,000 + 33,000 - x ≥ 120,000
• 45,000 + 33,000 + x ≤ 120,000
• 45,000 + 33,000 - x ≤ 120,000
• 45,000 + 33,000 ≥ 120,000

Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift voucher amount?

• 4n + 2 ≤ 30
• 2n + 4 ≤ 30
• 4n + 2 ≥ 30
• 2n + 4 ≥ 30

Sue and Cath have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 fixed charge. What is the maximum number of miles they will be able to travel in the cab?

• 2n + 3 ≤ 20
• 3n + 2 ≤ 20
• 2n + 3 ≥ 20
• 3n + 2 ≥ 20

Bert already has $50 but needs a total of at least $250 for his holiday. He gets paid $20 per day for delivering papers. What is the least number of days he must work to get enough money for his holiday?

• 20n + 50 ≤ 250
• 50n + 20 ≤ 250
• 50n + 20 ≥ 250
• 20n + 50 ≥ 250

Commission or salary: Jill has a job offer. She is offered either $50 per day or $30 per day plus a commission of $3 for every plant she sells. How many plants does she need to sell to make the commission offer the best paying option?

• 30 + 3p < 50
• 30 + 3p > 50
• 30 + 3p ≤ 50
• 30 + 3p ≥ 50

Lucas is offered either 15% or $21 off his total shopping bill. How much would have to be spent to make the 15% option the best one?

• 0.15 x < 21
• 0.15x ≥ 21
• 0.15x > 21
• 0.15x ≤ 21

Sid is $300 in debt. He needs to get the debt down to no more than $100 within the next 8 months. If he pays the same amount each month, what is the minimum he must pay off each month to manage this?

• 300 - 8b ≤ 100
• 300 + 8b ≤ 100
• 300 - 8b ≥ 100
• 300 + 8b ≥ 100

Joel is looking at costs for using a gym. He could pay $50 per month for unlimited use or he could pay $12 per month plus $4 per visit. How many visits would he have to make each month to make the $50 per month unlimited use option the cheapest one?

• 4c + 12 < 50
• 4c + 12 ≥ 50 
• 4c + 12 ≤ 50
• 4c + 12 > 50