How can the strategy draw a diagram help you solve a decimal multiplication problem?

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1 ? Name 3.5 Essential Question PROBLEM SOLVING Multiply Money How can the strategy draw a diagram help you solve a decimal multiplication problem? Number and Operations 5.3.D, 5.3.E, Also 5.10.D MATHEMATICAL PROCESSES 5.1.B Unlock the Problem A group of friends go to a local fair. Jayson spends $3.75. Maya spends 3 times as much as Jayson. Tia spends $5.25 more than Maya. How much does Tia spend? Use the graphic organizer below to help you solve the problem. Read What do I need to find? I need to find. What information am I given? I need to use the amount spent by Jayson Maya $3.75 Solve The amount of money Maya and Tia spend depends on the amount Jayson spends. Draw a diagram to compare the amounts without calculating. Then, use the diagram to find the amount each person spends. to find the amount spent by and at the fair. Plan Tia Jayson: $3.75 $5.25 What is my plan or strategy? I can draw a diagram to show Maya: 3 = Tia: + $5.25 =. So, Tia spent at the fair. Module 3 129

2 Try Another Problem Julie s savings account has a balance of $57.85 in January. By March, her balance is 4 times as much as her January balance. Between March and November, Julie deposits a total of $ If she does not withdraw any money from her account, what should Julie s balance be in November? Read Solve What do I need to find? What information am I given? Plan What is my plan or strategy? So, Julie s savings account balance will be in November. How does the diagram help you determine if your answer is reasonable? 130 Math Talk Mathematical Processes Describe a different diagram you could use to solve the problem.

3 Name Share and Show 1. Manuel collects $45.18 for a fundraiser. Gerome collects $18.07 more than Manuel. Cindy collects 2 times as much as Gerome. How much money does Cindy collect for the fundraiser? First, draw a diagram to show the amount Manuel collects. Then, draw a diagram to show the amount Gerome collects. Next, draw a diagram to show the amount Cindy collects. Finally, find the amount each person collects. Cindy collects for the fundraiser. 2. What if Gerome collects $9.23 more than Manuel? If Cindy still collects 2 times as much as Gerome, how much money would Cindy collect? Write Math Show Your Work Problem Solving 3. Multi-Step It costs $5.15 to rent a kayak for 1 hour at a local state park. The price per hour stays the same for up to 5 hours of rental. After 5 hours, the cost decreases to $3.75 per hour. How much would it cost to rent a kayak for 6 hours? 4. Multi-Step Jenn buys a pair of jeans for $ Her friend Karen spends $3.50 more for the same pair of jeans. Vicki paid the same price as Karen for the jeans but bought 2 pairs. How much did Vicki spend? Module 3 Lesson 5 131

4 Daily Assessment Task Mathematical Processes Fill in the bubble completely to show your answer. 5. Apply A recipe for chili calls for three types of beans. How much will the beans cost if black beans are $12.15, kidney beans are $16.27, and spicy refried beans are twice the cost of black beans? A $40.57 C $54.69 B $52.72 D $ Use Math Language Ada and Chen are cooking different chili recipes. Ada spent $21.88 on ingredients while Chen spent twice as much as Ada. What method could you use to find out how much Chen spent on ingredients? A Divide $21.88 by 2. B Add $21.88, $14.44, and $ C Add $21.88, $21.88, and $ D Multiply $21.88 by Multi-Step Marco spent $17.18 on tomatoes. Then he spent three times as much on peppers. How much did he spend on tomatoes and peppers? A $17.18 C $57.81 B $51.54 D $68.72 TEXAS Test Prep 8. At a bagel shop in town, each bagel costs $0.79. If Mr. Thomas buys a box of 8 bagels, how much will he pay for the bagels? A $ B $87.90 C $63.20 D $8.79

5 Homework and Practice Name Number and Operations 5.3.D, 5.3.E Also, 5.10.D MATHEMATICAL PROCESSES 5.1.B 3.5 PROBLEM SOLVING Multiply Money 1. Brandy buys 6 packs of party favors. The favors cost $3.49 per pack. She pays $1.26 in sales tax. How much does Brandy spend on the party favors? 2. Hector sells his used books at a garage sale for $2.75 each. On Saturday, he sells 3 books. On Sunday, he sells 7 books. How much does Hector make selling his books? 3. The original price for a case of paper is $ The case of printer paper is on sale for 0.5 times the original price. How much will Alison spend on 5 cases of printer paper if she buys them on sale? 4. Jordan has $14.56 in her wallet. Nico has three times as much money as Jordan in his wallet. Avery has $5.25 more than Nico. How much money does Avery have? 5. In September, Ellen deposits $52.00 in her savings account. The next month, she deposits $22.50 more in her account. In November, Ellen deposits four times the amount she deposits in October. How much does Ellen deposit in her account in the three months? 6. Leticia buys a magazine and rents 2 movies for her weekend entertainment. The price of a movie rental is $4.95. The magazine costs $5.99. How much does Leticia spend on her weekend entertainment? Problem Solving 7. Sam and Justin each rent a bike for 4 hours. The rental price for 1 bike is $4.35 per hour. Then the boys decide to ride together on a tandem bike for another hour for $6.75. What is the total cost of the boys bike rental? 8. Kevan spends $19.99 at the mall. Amir spends $2.99 more than Kevan. Raul spends twice as much as Amir. How much does Raul spend? Module 3 Lesson 5 133

6 Lesson Check TEXAS Test Prep Fill in the bubble completely to show your answer. 9. Amelia spent $3.16 on peaches. Then she spent four times as much on raspberries. How much did she spend on peaches and raspberries? A $12.64 B $15.80 C $6.32 D $ Ryan buys 3 cans of tennis balls for $2.67 each. He buys 2 pairs of socks for $3.55 each. He pays with a $20 bill. How much change does Ryan get? A $2.64 B $15.11 C $13.78 D $ Sonya counts the coins in her coin purse. She has 7 quarters, 11 dimes, and 15 nickels. She has two more pennies than the number of quarters and dimes combined. What is the value of Sonya s coins? A $3.80 B $3.65 C $3.70 D $ Chef Michaels spends $24.46 on ingredients for a cake and $13.92 on ingredients for a pie. What method could you use to find out how much Chef Michaels spends on ingredients for the cake if he doubles the recipe? A Add $24.46 and $ B Add $24.46, $24.46, and $ C Multiply $24.46 by 2. D Divide $24.46 by Multi-Step At the farmer s market, heirloom tomatoes cost $5.99 a pound, beefsteak tomatoes cost $3.19 a pound, and cherry tomatoes cost $2.99 a pound. Joe bought 2 pounds of each type of tomato. How much did he spend on tomatoes? 134 A $21.35 B $12.17 C $24.34 D $ Multi-Step Carnations cost $0.99 each, daisies cost $1.75 each, and lilies cost $2.26 each. How much would an arrangement cost that is made with 3 carnations, two more daisies than carnations, and twice as many lilies as daisies? A $34.32 B $15.51 C $25.28 D $40.59