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Homework 2.15 Solve each word problem. Show ALL work. 1. Two more than 5 times a number is 77. Find the number. 2. Twenty-­‐five decreased by one-­‐fifth of a number is 18. Find the number. 3. The length of a rectangle is 50 meters. This is 6 meters more than twice the width. Find the width. 4. The sum of two numbers is 45. The first is 9 less than the second. Find the numbers. 5. The second of two numbers is 5 more than twice the first. Their sum is 80. Find the numbers. 6. The sum of three numbers is 61. The second number is 5 times the first, while the third is 2 less than the first. Find the numbers. 7. The first side of a triangle is 8 m shorter than the second side. The third side is 4 times as long as the first side. The perimeter is 26 m. Find the length of each side. 8. Find three consecutive integers whose sum is -­‐147. 9. Find three consecutive even integers whose sum is 72. 10. Three less than 11 times a number is the same as the number decreased by 13. Find the number. 11. One more than 3 times a number is the same as 5 times the number, decreased by 15. Find the number. 12. The second of two numbers is 7 times the first. Their sum is 72. Find the numbers. 13. Jack’s bowling score is 20 less than 3 times Jill’s score. The sum of their scores is 220. Find the score of each. 14. The sum of three numbers is 161. The second number is 6 times the first, and the third is 5 more than the second. Find the numbers. 15. A group of backpackers hiked 38 km over three days. The first day, they hiked 1 km less than 3 times as far as the second day. The third day, they hiked 2 km less than the first day. How far did they hike the first day? 
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