Name: Date: Lesson 19 Word Problems Day 3

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1 Name: Date: Lesson 19 Word Problems Day 3 Warm Up 1) The ratio of red to black marbles is 2:7. If there are 28 black marbles, how many marbles are red? 2) The ratio of red to black marbles is 2:7. If there are total of 45 marbles, how many marbles are red and how many marbles are black? What s the difference between the two ratio questions? X-Box Word Problems Model Problem (a) Every month, Omar buys pizzas to serve at a party for his friends. In May, he bought three more than twice the number of pizzas he bought in April. If Omar bought 15 pizzas in May, how many pizzas did he buy in April? (b) During the 2007 baseball season, Wade was up to bat 10 more times than his teammate Dwight. Dwight batted 17 fewer times than another teammate, Ellis. The three players were up to bat a total of 1650 times. How many times did Ellis come to bat? Practice Problems 1) Pam is playing with red and black marbles. The number of red marbles she has is three more than twice the number of black marbles she has. She has 42 marbles in all. How many red marbles does Pam have? 1

2 2) There are a total of 20 lions, tigers and bears. If the number of tigers is 2 more than the number of lions and the number of bears is 1 more than the number of tigers, find the number of each. Rectangle and Perimeter Word Problems Perimeter The number of units it takes to measure the outside of a figure. Rectangle: Triangle: P = 2l + 2w P = add up all the sides Area The number of square units it takes to completely fill a figure. Rectangle: Triangle: A = l w A = ½b h Model Problem a) The length of a rectangle is 6 feet more than the width of the rectangle. The perimeter is equal to 38 feet. (a) Find both length and width. (b) Determine the area of the rectangle. b) In a triangle, one side is three times as large as the smallest side and the third side is 40 feet more than the smallest side. The perimeter of the triangle is 184 feet. Find the measurements of all three sides. 2

3 Practice Problems 1) The length of a rectangle is 4 less than twice the width. If the sum of the length and width is 80, find both length and width. 2) The perimeter of a square mirror is 24 ft. Find the length of each side of the mirror. 3) The length of a rectangle is four times the width of the rectangle. The perimeter is 200ft. Find the length and width of the rectangle. Challenge Question If one side of a square is increased by 8 cm and an adjacent side decreased by 2 cm, a rectangle is formed whose perimeter is 40 cm. Find the length and width of the rectangle. 3

4 Mixed Practice Problems 1) Debbie is one year older than Dave. James is twice as old as Dave. Joelle is twice as old as Debbie. Altogether their ages total 33. Find each person s age. 2) The width of a rectangle is five less than the length. The perimeter is 38 feet. Find the length and width. 3) The length of a rectangle is seven more than the width. The perimeter is 52. Find the length and the width. 4) The width of a rectangle is 3 yards less than its length. The perimeter is 130 yards. Find the length and width of the rectangle. 4

5 5) Tom performed a total of 100 hours of community service. He served at three charities Salvation Army, Red Cross and Rescue Mission. The number of hours he served at the Red Cross was 19 hours more than at the Salvation Army. The number of hours he served at the Rescue Mission was 8 hours more than what he served at the Red Cross. Find the number of hours he volunteered at each charity. 6) The perimeter of a rectangle is 40 feet. The length is 2 more than 5 times the width. Find the dimensions of the rectangle. 7) Hungry Bear Cookies baked a total of 98 cookies of three kinds chocolate chip, oatmeal raisin, and peanut butter. The number of oatmeal raisin was twice the number of peanut butter. The number of chocolate chip was 3 more than the number of oatmeal. Find the number of cookies of each type. 8) Rainbo Bread Company delivered a total of 180 loaves of bread to three markets. Savemart received 12 more loaves than Vons. Ralphs received 6 more loaves than Savemart. Find the number of loaves delivered to each market. Summary Perimeter Word Problem The width of a rectangle is 4ft smaller than 3 times its length. Its perimeter is 144ft. Fins its dimensions. X-Box Word Problem Jane is twice as old as Jake. The sum of their ages is 5 times Jake s age less 48. How old are Jan and Jake? Let x = Jake s age Let 2x = Jane s age 2x + x = 5x 48 5

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