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3.6 Problem Solving: Using Charts Objective: To organize the facts of a problem in a chart. Warm – up: Solve: 1) 4x – 44 = 5x + 552) 4x + 44 = 5x ) 4x – 44 = 5x – 55 4) 4x + 44 = 5x – 55

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3.6 Problem Solving: Using Charts Setting up charts and solving… o In game 1, Ellen scored twice as many points as Jody. In game 2, Ellen scored ten fewer points than she did in game 1, while Jody scored 12 more points than she did in game 1. o Jess bought some boxes of lemonade at seventy cents per box. He bought eight fewer boxes of punch at sixty cents per box. Game 1 Points Game 2 Points Ellen Jody Cost per Box Number of Boxes Total Cost Lemonade Punch

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3.6 Problem Solving: Using Charts Setting up charts and solving… o What equation would you write to find the a mount of protein in a scrambled egg? (1)An egg scrambled with butter and milk has one more gram of protein than an egg fried in butter. (2)Ten scrambled eggs have as much protein as a dozen fried eggs. o Find the number of Calories in an apple and in a pear. (1)A pear contains 30 Calories more than an apple. (2)Ten apples have as many Calories as 7 pears. Calories per Fruit Number of Fruit Total Calories Apple Pear Protein per egg Number of eggs Total protein Scrambled Fried

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3.6 Problem Solving: Using Charts Setting up charts and solving… o Find out how much Kate earned if her earnings were $27 more than the combined earnings of Janet and David. (1)Janet worked 3 hrs more than David and 7 hrs less than Kate. David worked the least. (2)David earned $7.50/hr, Janet $6/hr, and Kate $9/hr. o Carrie has 40 more nickels than Joan has dimes. They both have the same amount of money. How many coins does each girl have? Hours Worked Wage per Hr Total Janet David Kate No. of Coins Value per Coin Total Value Carrie Joan

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3.6 Problem Solving: Using Charts Setting up charts and solving… o The length of a rectangle (rectangle 1) is twice its width w. A second rectangle (rectangle 2), which is 8 cm longer and 3 cm narrower than the first rectangle, has perimeter 154 cm. Find the dimensions of each rectangle. Homework: – Pg. 123 Problems #1 – 7 widthlengthperimeter Rectangle 1 Rectangle 2

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