Operations with Rational Numbers Word Problems Practice

Marie’s office has a parking garage that charges $10.50 each day for parking. Marie’s employer provides her with a parking card that has $200 each month. When Marie parked today, the card indicated it had $116 left on the card. How many days has Marie used the card for parking this month?

• 8 days

• 10 days

• 6 days

• 12 days

Answer explanation

Marie has $116 left on her parking card. Each day costs $10.50. To find out how many days she has parked, subtract the remaining amount from the total: $200 - $116 = $84. Then divide by the daily rate: $84 ÷ $10.50 = 8 days.

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CCSS.7.EE.B.3

Tanner is traveling on his first flight to visit family. 8 4/5 minutes into the flight, the pilot announces the plane is currently at an altitude of 3740 feet. At that rate, how long will it take to reach a cruising altitude of 32,400 feet?

• 75 minutes

• 80 minutes

• 85 minutes

• 90 minutes

Answer explanation

The plane ascends from 3740 feet to 32,400 feet, a difference of 28,660 feet. In 8 4/5 minutes, it covers 3740 feet, so it takes 75 minutes to reach cruising altitude at the same rate.

Tags

CCSS.7.RP.A.1

A penguin sitting on an iceberg notices a fish swimming below. The fish is 10.3 ft below sea level. The penguin dives and reaches the fish in 7/15 of a minute. What was the rate of descent the penguin made?

• 22 ft/min

• 15 ft/min

• 10 ft/min

• 12 ft/min

Answer explanation

To find the rate of descent, divide the depth (10.3 ft) by the time taken (7/15 min). Rate = 10.3 ft / (7/15 min) = 10.3 ft * (15/7) = 22 ft/min. Thus, the penguin's rate of descent is 22 ft/min.

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CCSS.7.RP.A.3

The temperature in North Dakota today was –8.8°C. Over the next 3 weeks, the temperature will increase an average of 3.2°C each week. What will the temperature be at the end of the 3 weeks?

• 0.8°C

• 1.6°C

• 2.4°C

• 3.2°C

Answer explanation

To find the temperature after 3 weeks, calculate the total increase: 3.2°C/week * 3 weeks = 9.6°C. Add this to the initial temperature: -8.8°C + 9.6°C = 0.8°C. Thus, the final temperature is 0.8°C.

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CCSS.7.NS.A.3

Lucy buys her cats a bag of food that is 35.3 ounces. Each of Lucy’s cats eat 9/15 ounces a day. If she has 2 cats, how long will the bag of cat food last Lucy?

• 29 days

• 12 days

• 10 days

• 8 days

Answer explanation

Lucy has 2 cats, each eating 9/15 ounces daily, totaling 2 x 9/15 = 18/15 = 1.2 ounces per day. The bag lasts 35.3 divided by 1.2 which is approximately 29.42 days. Rounding down, it lasts 29 days.

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CCSS.7.EE.B.3

Priscilla is planning to hike a new trail this weekend. She sets up camp Friday evening at the start of the trail which begins at an elevation of -184.56 ft and ends at an elevation of 759.22 ft. She plans to begin her hike in the early morning and wants to travel 5/8 of the change in elevation of her trip on Saturday, then set up camp until the next morning. How many feet of elevation does she want to hike on Saturday?

• 184.56 ft

• 472.89 ft

• 759.22 ft

• 589.86 ft

Answer explanation

The change in elevation is 759.22 - (-184.56) = 943.78 ft. On Saturday, Priscilla hikes 5/8 of this, which is 5/8 * 943.78 = 589.8625 ft. Which is about 589.86 ft.

Tags

CCSS.7.EE.B.3

Kelly is running a race on Monday, which has a total distance of 26.2 miles. Kelly’s family wants to show their support by holding up encouraging signs along the path. Her sister decides to stand at the spot that is 3/4 of the total race while her father chooses to stand at the spot that is 7/8 of the total race. How many miles apart are Kelly’s family members?

• 3.375 miles

• 6.55 miles

• 1.6375 miles

• 2.275 miles

Answer explanation

To find the distance between Kelly's family members, calculate their positions: Sister at 26.2 * (3/4) = 19.65 miles and Father at 26.2 * (7/8) = 22.925 miles. The difference is 22.925 - 19.65 = 3.375 miles.

Tags

CCSS.7.EE.B.3

Floyd used his store credit card to purchase a new baseball. He has a coupon that when he uses his credit card, the item will be 2/5 of the total. The baseball was priced at $7.25. A month goes by and Floyd forgot to pay his credit card bill, so they have added a fee of 0.22 times the amount he owed. What is the total amount Floyd has to pay his credit card company?

• $2.90

• $3.54

• $4.42

• $5.28

Answer explanation

Floyd pays 2/5 times 7.25 = 2.90. The fee is 0.22 times 2.90 = 0.638. Total amount due is 2.90 + 0.638 = 3.538 rounded to $3.54.

Tags

CCSS.7.NS.A.3

Stephanie is moving to Miami, Florida from Atlanta, Georgia. The total distance of her move is 665.71 miles. She rented a moving truck that charges $22.75 a day and $0.27 per mile over 500 miles. If she returns the truck with a full tank of gas after 2 days, the company will discount her bill by 4/25. What is the total amount Stephanie will pay for the moving truck if she fills the tank with gas before returning it after 2 days?

• $90.24

• $75.80

• $100.00

• $240.00

Answer explanation

The cost for 2 days is $45.50 ($22.75 x 2). The distance over 500 miles is 165.71 miles, costing $44.74 ($0.27 x 165.71). Total before discount is $90.24. After a discount of $14.44 (4/25), the total is $75.80.

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CCSS.7.EE.B.3