Solving Word Problems with Two Variables Inequality

Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones? Write the inequality to the problem.

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240

Ruby set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal? Write the inequality to the problem.

• 5x+60 ≥ 200

• 5x+60 ≤ 200

• 60x+5 ≥ 200

• 60x+5 ≤ 200

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly

pay of at least $550?

Define the variable.

• let x = Griffin

• let x = the dollar amount of sales

• let x = commission

• let x = weekly salary

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly pay of at least $550?
Write the inequality to the problem.

• 0.04x+300 ≥ 550

• 0.04x+300≤ 550

• 4x+300 ≥ 550

• 4x+300 ≤ 550

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly

pay of at least $550?

Solve the inequality/answer the question.

• x ≥ $6250

• x ≤ $6250

• x ≥ $62.50

• x ≤ $62.50

Jillian needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car? Write the inequality to the problem.

• 50x+1/2 ≥ 4800

• 1/2x+50 ≤ 4800

• 50x+2400 ≥ 4800

• 50x+2400 ≤ 4800

Elliott decides to take his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Elliott could take with him to the movies?

Write the inequality to the problem.

• 6.25x+9.75 ≥ 50

• 6.25x+9.75 ≤ 50

• 9.75x+6.25 ≥ 50

• 9.75x+6.25 ≤ 50

Elliott decides to take his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Elliott could take with him to the movies? (Be careful here- Elliott has to be removed from the group of friends before you answer!) Solve the inequality/answer the question.

• x ≥ 5

• x ≤ 6

• x ≥ 7

• x ≤ 7

You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile. What is the most miles you could ride in the taxi?

(Mileage is rounded up if you stop before a complete mile.)

Write the inequality to the problem.

• 0.60x+5 ≥ 14

• 0.60x+5 ≤ 14

• 0.60x+5 > 14

• 0.60x+5 < 14

You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile. What is the most miles you could ride in the taxi?

(Mileage is rounded up if you stop before a complete mile.)

Solve the inequality/answer the question.

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15