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:Â real-world scenarios into mathematical expressions using key mathematical concepts like proportions, ratios, and percentages to solve problems. 1 / 5 1. The sum of three consecutive even integers is 234. What is the smallest integer? a) 44 b) 74 c) 76 d) 46 Let n be the first even integer. The three consecutive even integers are n, n+2, and n+4. The sum of these three integers is given as 234: n + (n+2) + (n+4) = 234 Combine like terms: 3n + 6 = 234 Subtract 6 from both sides: 3n = 228 Divide by 3: n = 76 So, the three consecutive even integers are 76, 78, and 80. 2 / 5 2. A store offers a 15% discount on all its items. If an item originally costs $120, how much will it cost after the discount? a) $100 b) $108 c) $114 d) $102 We can find the discount amount by multiplying the original price by 15%: $120 * 0.15 = $18. Now, we subtract the discount amount from the original price to find the final price: $120 - $18 = $102. 3 / 5 3. A train covers a distance of 100 miles in 2 hours. What is the average speed of the train in miles per hour? a) 20 mph b) 30 mph c) 50 mph d) 60 mph To find the average speed of the train, we divide the total distance covered by the total time taken: 100 miles / 2 hours = 50 miles per hour. 4 / 5 4. 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. 5 / 5 5. In a group of 60 people, 25 people like both chocolate and vanilla ice cream, 15 people like only chocolate ice cream, and 12 people like only vanilla ice cream. How many people in the group like neither chocolate nor vanilla ice cream? a) 5 people b) 6 people c) 7 people d) 8 people First, we find the number of people who like at least one of the ice cream flavors: 25 (both) + 15 (only chocolate) + 12 (only vanilla) = 52 people. Since some people are counted twice in this sum (those who like both flavors), we subtract the number of people who like both flavors to get the number of people who like at least one flavor: 52 - 25 = 27 people. Finally, we subtract this number from the total number of people in the group to find the number of people who like neither flavor: 60 - 27 = 33 people. However, the question asks for the number of people who like neither flavor, so we need to subtract the number of people who were counted twice (those who like both flavors): 33 - 25 = 8 people. Answer: d) 8 people. Your score is 0% Restart Quiz