Warm-Up Solve. 1.) 4x + 44 = 5x + 55 2.) 4x 44 = 5x + 55 3.) 4x 44 = 5x 55 4.) 4x + 44 = 5x 55 How does a calendar help a student? A parent?
Warm-Up Solve. 1.) 4x + 44 = 5x + 55 {-11} 2.) 4x 44 = 5x + 55 {-99} 3.) 4x 44 = 5x 55 {11} 4.) 4x + 44 = 5x 55 {99} A calendar is essentially a chart that helps organize pieces of information. In today s lesson, we will utilize charts to organize pieces of information from a word problem.
Homework Questions?
Section 3-6 Problem Solving: Using Charts
Objective I want to be able to organize the facts of a problem in a chart.
Example 1 One board is 4 in. wide and 8 in. longer than a board 2 in. wide. Width Length 1 st board 4 x + 8 2 nd board 2 x
Example 2 Jess bought some boxes of lemonade at seventy cents per box. He bought eight fewer boxes of punch at sixty cents per box. # of boxes Cents per box Cost Lemon. x 70 70x Punch x - 8 60 60(x 8)
Example 3 Carrie has 40 more nickels than Joan has dimes. They both have the same amount of money. How many coins does each girl have? Step 1: the problems asks to find the number of coins each girl has Step 2: Let x = number of coins
Example 3 continued # of Coin Total Coins Value Value Carrie 40 + x 5 5(40 + x) Joan x 10 10x
Example 3 Continued Step 3: Use the equation 5(40 + x) = 10x Step 4: Solve 5(40 + x) = 10x 200 + 5x = 10x 200 = 5x x = 40 Joan has 40 dimes, and Carrie has 80 nickels.
Step 5: Check Example 3 Continued 10x = 10(40) = 400 5(40 + x) = 5(40 + 40) = 5(80) = 400 Both girls have the same amount of money.
Section 3-7 Cost, Income, and Value Problems
Objective I want to be able to solve problems involving cost, income, and value.
How do you figure those out? Cost = number of items ( price per item ) Income = hours worked ( wage per hour ) Total value = number of items ( value per item)
Example 1 An apple sells for 25 cents and a peach sells for 15 cents. A total of 10 pieces of fruit were sold for a total cost of $2.10. How many apples were sold? Step 1: the problems asks to find the number of apples that were sold Step 2: Let x = number of fruit
Example 1 An apple sells for 25 cents and a peach sells for 15 cents. A total of 10 pieces of fruit were sold for a total cost of $2.10. How many apples were sold? # of Price Cost fruit Apple x 0.25 0.25x Peach 10 x 0.15 0.15(10 x)
Example 1 continued Step 3: The only fact not recorded on the chart is that 10 pieces of fruit were sold for $2.10. Write an equation using this fact. 0.25x + 0.15(10 x) = 2.10
Example 1 Continued Step 4: Solve 0.25x + 0.15(10 x) = 2.10 0.25x + 1.5 0.15x = 2.10 0.10x + 1.5 = 2.10 0.10x = 0.6 x = 6 6 apples were sold.
Step 5: Check Example 1 Continued 0.25x = 0.25(6) = 1.5 0.15(10 x) = 0.15(10 6) = 0.15(4) = 0.6 The sum of cost of the apples, $1.50, and the cost of the peaches, $0.60, is $2.10.
Solve. Use a chart. Try These! 1.) A stalk of celery contains 7 calories and a carrot contains 20 calories. A total of 45 carrots and celery stalks contain a total of 575 calories. How many carrots are there?
Try These #1 # of stalks # of calories Total Celery 45 x 7 315 7x Carrot x 20 20x (315 7x) + 20x = 575 20 carrots
Solve. Use a chart. And These! 2.) Coria and Kip went to the record store during its sale. Together they spent $38.50. If each record cost $3.50 and Kip bought one more than Coria, how many records did each buy?
Try These #2 # of records Price per record Cost Coria r 3.50 3.5r Kep r + 1 3.50 3.5(r + 1) (3.5r) + (3.5r + 3.5) = 38.50 Coria bought 5 records. Kip bought 6 records.
Solve. Use a chart. Try These! 3.) Find how much Kate earned if her earnings were $27 more than the combined earnings of Janet and David. Janet worked 3 h more than David and 7 h less than Kate. David earned $7.50/h, Janet $6/h, and Kate $9/h.
Try These #3 Hours Worked Wage Total Janet x + 3 6 6x + 18 David x 7.50 7.5x Kate x + 10 9 9x + 90 9x + 90 = [(6x + 18) + (7.5x)] Kate earned $180.00
What about these? Pg. 122 Oral Exercises #1 3 Pg. 127 Oral Exercises # 1-2
What about these? Pg. 122 Oral Exercises #1 3 1a. w 13 1b. w + 13 2. 2m, 2m 10, m + 12 3. x + 1, 10(x + 1), 12, 12x
What about these? Pg. 127 Oral Exercises # 1 2 1. 6, 6s, 12 s, 5, 5(12 s) 6s + 5(12 s) = 64.50 2. 50, 1, 50, 50 x, 14, 14(50 x), 22, 22x 50 + 14(50 x) + 22x = 990
Clear your calculators! Take out your agendas! Copy down DUE DATES! Homework: Section 3.6 Section 3.7
Journal Entry TOPIC: Using Charts Answer the following question: Copy the chart and interpret the information that is given by creating a word problem. # of itunes downloads Price per download Total Samantha d 1.29 1.29d Caroline d + 5 1.29 1.29(d + 5)