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 29. What was the average of the two numbers that were added to the list? 2. Find the sum of 1 + 2 + 3 + 4 + ... + 86 + 87 =? 3. The average of 5 numbers is 12. Suppose 42 is added the group. What is the new average of all the numbers? 4. In a group of 8 students with 5 boys and 3 girls, the average weight of the boys is 115 pounds, while the average weight of the girls is 91 pounds. What is the average weight (in pounds) of all the students in the group? 5. There are 25 marbles in a red bag and 29 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. Susan's average score for the first 3 math exams is 87. The average for all 4 math exams is 86. What is the score of her last math exam? 7. 150 apples are packed in bags. There are 5 apples in each bag. Equal numbers of bags are then put into boxes. If 6 boxes are needed, how many bags are there in each box? 8. There are 40 people in a group, and there are just enough balloons to distribute 5 balloons to each of them. 20 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. Ben's average score for the first 3 math tests is 88. In order to bring his average up to at least a 91, what will be the lowest possible average of the next 5 tests? Express your answer as a whole number. 10. Nancy's average score in English, math, and science is 82. Her math score is 8 points higher than her English score. Her English score is 2 points higher than her science score. What is her score for math? |