2-Step Inequalities Word- Problems

It costs $15 to enter an amusement park and $2.50 to play each game. AT MOST how many games can Jay play if he has $45 to spend at the park?

Answer explanation

AT MOST gets the inequality symbol ≤, g for games is your variable, $2.50 gets the variable, $15 is being added, and your total is $45.

Leandro ran 3 miles yesterday and wants to run at least 19 miles this week.  The rest of his runs will be 4 miles per day.  How many days does he need to run to get AT LEAST 19 miles completed?

Answer explanation

AT LEAST gets the inequality symbol ≥, m for miles is your variable, 4 gets the variable, 3 is being added, and your total is 19.

Lazer Zone charges $15 to get in plus $6 per person. If Sarah has a MAXIMUM of $111 to spend, how many people can Sarah invite to play laser tag?

Answer explanation

MAXIMUM gets the inequality symbol ≤, p for people is your variable, $6 gets the variable, $15 is being added, and your total is $111.

Ethan gets paid $50 per week plus $15 per sale.  He needs to have a paycheck GREATER THAN $230.  How many sales does he need to make in a week?

Answer explanation

GREATER THAN gets the inequality symbol >, s for sales is your variable, 15 gets the variable, 50 is being added, and your total is 230.

Mr. Newton mows lawns for a living. He had to spend $50 for repair to his mower this week. He makes $25 for each lawn he mows.  How many lawns does he need to mow to make a profit of MORE THAN $500 this week?

Answer explanation

MORE THAN gets the inequality symbol >, l for lawns is your variable, 25 gets the variable, 50 is being subtracted, and your total is 500.

Silvia needs at least $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her parents gave her $10 for mowing the lawn. AT LEAST how many hours will Silvia need to babysit?

Mrs. Cooper joined a gym for a monthly fee of $20.  She has a budget of NO MORE THAN $100 per month.  She wants to take yoga classes that cost $10.  How many yoga classes can she take and stay within her budget?

 Kendall works on commission.  She earns $40 per sale and she makes $100 a week.  How many sales does she need to have to AT LEAST make $500 in a week?

Top Golf charges $12 for each hour and you also want an order of wings for $9. You can spend AT MOST $60. AT MOST how many hours can you play Top Golf? Hint: Your answer will have a decimal.

Brandon ran 3 miles yesterday and wants to run at least 18 miles this week.  The rest of his runs will be 5 miles per day.  How many days does he need to run to get AT LEAST 18 miles completed?