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Problem 1) Five times a number increased by seven is equal to forty-seven. What is the number? Problem 2) The sum of two consecutive integers is sixty-five. Find the two numbers. Problem 3) Ninety-six golf balls were picked up at the driving range and placed into two buckets. One bucket has twenty-eight more balls than the other bucket.
Notes, Examples, and Practice Exercises (with detailed solutions) Topics include translating words to operations, linear systems, mixture, work, and rate problems, area, and more.
Joe is playing a game with a regular die. If the number that turns up is even, he will gain 5 times the number that comes up. If it is odd, he will lose 10 times the number that comes up. He tosses a 3. Express the results as an integer.
WS Consecutive Numbers Word Problems. Complete the table where possible. PP/\CT!CE EX'=8CISES. Write an equation for each problem. Then solve the problem. Find three consecutive integers whose sum is 99." Find four consecutive integers whose sum is 26. The sum of four consecutive even integers is -124. Find the number.
Use the work backward strategy to solve each problem.
Solve each problem using an algebraic equation. 1. Twice a number is 500 more than six times the number. What is the number? 2. Three-sevenths of a number is 24. Find the number. 3. What number increased by 1⁄4 of itself is equal to 30? 2. 4. Find a number such that 1⁄4 of the number is 50 less than of the number. 3. 5.
7 Μαΐ 2021 · Solution: Although the situation sounds different, mathematically this problem is similar to the previous example. If pipe A alone can ll the pool in 8 hours, then it lls up 1 8 of the pool in an hour, 2 8 in two hours, and x 8 in x hours. Pipe B lls up the pool in 10 hours, so it lls up 1 10 in one hour and x 10 in x hours. Similarly, pipe C ...
