Average Problems( Week 21 Evaluation) 1. The average of a list of 4 numbers was 22. After two numbers were added to the list, the average became 25. What was the average of the two numbers that were added to the list? 2. Find the sum of 1 + 2 + 3 + 4 + ... + 74 + 75 =? 3. The average of 8 numbers is 13. Suppose 22 is added the group. What is the new average of all the numbers? 4. In a group of 10 students with 4 boys and 6 girls, the average weight of the boys is 110 pounds, while the average weight of the girls is 90 pounds. What is the average weight (in pounds) of all the students in the group? 5. There are 30 marbles in a red bag and 30 marbles in a blue bag. How many marbles need to be moved from the red bag to the blue bag, so that there will be twice as many marbles in the blue bag as in the red bag? 6. Jessica's average score for the first 4 math exams is 88. The average for all 5 math exams is 90. What is the score of her last math exam? 7. 480 apples are packed in bags. There are 10 apples in each bag. Equal numbers of bags are then put into boxes. If 12 boxes are needed, how many bags are there in each box? 8. There are 60 people in a group, and there are just enough balloons to distribute 5 balloons to each of them. 30 people want 4 balloons each. How many balloons can be given to each of the remaining people if each of them gets the same number of balloons? 9. Tom's average score for the first 4 math tests is 87. In order to bring his average up to at least a 90, what will be the lowest possible average of the next 6 tests? Express your answer as a whole number. 10. Susan's average score in English, math, and science is 65. Her math score is 6 points higher than her English score. Her English score is 3 points higher than her science score. What is her score for math? |