Math Quiz -Arithmetic world problems Report a question What's wrong with this question? You cannot submit an empty report. Please add some details. Math Quiz -Aritmetic world problems Covering: real-world scenarios into mathematical expressions using key mathematical concepts like proportions, ratios, and percentages to solve problems. 1 / 5 1. A car rental company charges a flat fee of $25 per day and an additional $0.15 per mile driven. If a customer rents a car for 3 days and drives 100 miles, what will the total cost be? a) $85 b) $90 c) $95 d) $100 First, we find the total flat fee cost by multiplying the daily flat fee by the number of days rented: $25/day * 3 days = $75. Next, we find the additional charge for the miles driven: $0.15/mile * 100 miles = $15. Finally, we add the flat fee cost and the additional charge to find the total cost: $75 + $15 = $90. 2 / 5 2. A container has a capacity of 20 liters. If the container is filled with water to 25% of its capacity, how many liters of water does it contain? a) 2 liters b) 3 liters c) 5 liters d) 7 liters To find the number of liters of water in the container, we multiply the total capacity of the container by the percentage it is filled: 20 liters * 25% = 5 liters. 3 / 5 3. A train travels at an average speed of 60 miles per hour. If it is scheduled to complete a 420-mile trip, how many hours will it take? a) 6 hours b) 7 hours c) 8 hours d) 9 hours Divide the total distance by the average speed: 420 miles / 60 mph = 7 hours. 4 / 5 4. If 3 pounds of grapes cost $6, how much will 10 pounds of grapes cost? a) $20 b) $30 c) $40 d) $50 We can use proportions to solve this problem: ($6 / 3 pounds) = (x / 10 pounds). Cross-multiply to solve for x: 6 * 10 = 3 * x, which simplifies to 60 = 3x. Dividing both sides by 3, we get x = $20. 5 / 5 5. You have a 5-gallon container and a 3-gallon container. You need to measure exactly 4 gallons of water. How can you do this using only these two containers? a) Fill the 5-gallon container, then pour it into the 3-gallon container and measure the remaining water in the 5-gallon container. b) Fill the 3-gallon container, pour it into the 5-gallon container, and then fill the 3-gallon container again and pour it into the 5-gallon container. c) Fill the 3-gallon container and pour it into the 5-gallon container, then fill the 3-gallon container again, and use it to top off the 5-gallon container, leaving 1 gallon in the 3-gallon container. Finally, empty the 5-gallon container and pour the remaining 1 gallon from the 3-gallon container into the 5-gallon container. Then fill the 3-gallon container and pour it into the 5-gallon container. d) Fill both the containers at the same time and stop pouring when the water level in one of them reaches exactly 4 gallons. 1. Fill the 3-gallon container completely. 2. Pour the 3 gallons from the 3-gallon container into the 5-gallon container. 3. Fill the 3-gallon container again. 4. Carefully pour the water from the 3-gallon container into the 5-gallon container until the 5-gallon container is full. 5. Since there was space for 2 more gallons in the 5-gallon container, you have now 1 gallon left in the 3-gallon container. 6. Empty the 5-gallon container completely. 7. Pour the remaining 1 gallon of water from the 3-gallon container into the 5-gallon container. 8. Fill the 3-gallon container completely once more. 9. Pour the entire 3 gallons from the 3-gallon container into the 5-gallon container, which already has 1 gallon in it. Now, the 5-gallon container will have exactly 4 gallons of water. Your score is 0% Restart Quiz