ONE VARAIBLE INEQUATLITY WORD PROBLEMS

Problem 1 :

Tamara has a cell phone that charges $0.07 per minute plus a monthly fee of $19.00. She budgets $29.50 per month for total cell phone expenses without taxes. What is the maximum number of minutes Tamara could use her phone each month in order to stay within her budget?

Solution

Problem 2 :

An online music club has a one-time registration fee of $13.95 and charges $0.49 to buy each song. If Emma has $50 to join the club and buy songs, what is the maximum number of songs she can buy?

Solution

Problem 3 :

Peter begins his kindergarten year able to spell 10 words. He is going to learn to spell 2 new words every day.

Write an inequality that can be used to determine how many days, d, it takes Peter to be able to spell at least 75 words. Use this inequality to determine the minimum number of whole days it will take for him to be able to spell at least 75 words.

Solution

Problem 4 :

Chelsea has $45 to spend at the fair. She spends $20 on admission and $15 on snacks. She wants to play a game that costs $0.65 per game. Write an inequality to find the maximum number of times, x, Chelsea can play the game. Using this inequality, determine the maximum number of times she can play the game.

Solution

Problem 5 :

Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Solve the inequality 75 + 10s ≤ 300 to find the greatest number of sweaters s she can buy.

Solution

Problem 6 :

A small airplane can carry less than 1,050 pounds of luggage and mail. The mail for the day weighs 490 pounds. If each passenger brings 70 pounds of luggage, what is the greatest possible number of passengers that can be taken?

Solution

Problem 7 :

You rent a car and are offered 2 payment options. You can pay $25 a day plus 15 cents a mile or you can pay $10 a day plus 40 cents a mile. For what amount of daily miles will Option A be the cheaper plan? Write and solve an inequality to determine the answer.

Solution

Problem 8 :

Keith and Michelle went out to dinner. The total amount they had to spend on the cost of the meal, including the tip, was to $53.70. If the combined tip came out to $9.60, and each friend spent an equal amount, how much could each friend pay, not including the tip?

Solution