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McGraw Hill My Math Grade 5 Chapter 10 Lesson 12 Answer Key Problem-Solving Investigation: Draw a Diagram
All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 10 Lesson 12 Problem-Solving Investigation: Draw a Diagram will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Answer Key Chapter 10 Lesson 12 Problem-Solving Investigation: Draw a Diagram
Practice the Strategy
4. Check Is my answer reasonable? Explain. ____________________ Answer: To check whether the answer is reasonable or not. we need to divide and check 18 ÷ 6 = 3 Therefore, the answer is reasonable.
Apply the Strategy
Solve each problem by drawing a diagram.
Question 3. Mathematical PRACTICE 4 Model Math Jacinda is decorating cookies for a class party. She can decorate \(\frac{2}{3}\) of a cookie per minute. At this rate, how many cookies can she decorate in 15 minutes? Answer: The above-given The time she can decorate a cookie per minute = 2/3 The number of cookies she can decorate in 15 minutes = C for 1 minute – 2/3 of the cookie for 15 minutes – how many cookies? (C) C x 1 = 15 x 2/3 C = 30/3 C = 10 Therefore, she can decorate 10 cookies within 15 minutes.
Question 4. At a bird sanctuary, Ricky counted 80 birds. Of the birds he counted, \(\frac{1}{4}\) were baby birds. If he counted an equal number of adult males r and females, how many adult female birds did Ricky count? Answer: The number of birds counted by Ricky = 80 Out of 80 birds, the number of baby birds = 1/4 We can write in mathematical form as: 1/4 of 80 We need to find out the number of adult female birds. from the above-given conditions, we have to calculate 1/4 x 80 = 20 The total number of baby birds = 20 Now subtract the total number of birds and a total number of baby birds. Let it be A. A = 80 – 20 A = 60 Now we got the adult birds (female and male). Here we have to find out about the female birds. Let it be F F = 60/2 F = 30 Therefore, the number of female birds is 30. And finally, we can summarize that the baby birds are 20; female birds are 30; male birds are 30.
Question 5. Mathematical PRACTICE 5 Use Math Tools To make chocolate ice cream, you need about \(\frac{3}{8}\) pound of chocolate. How many pounds of chocolate will you need to make 4 batches of ice cream? Answer: The amount of chocolate we need to make a chocolate Ice-cream = 3/8 The number of pounds of chocolate we need to make 4 batches of ice cream = C C = 3/8 x 4 C = 12/8 C = 3/2 Therefore, 3/2 pounds of chocolate is needed.
Review the Strategies
Use any strategy to solve each problem.
- Draw d diagram.
- Work backwards.
- Guess, check, and revise.
- Act it out.
Question 6. A cook needs 12 pounds of flour. He wants to spend the least amount of money. If a 2-pound bag costs $1.59 and a 5-pound bag costs $2.89, how many bags of each type of flour should he buy? What will be the total cost? Answer: The pounds of flour a cook needs = 12 The cost of a 2-pound bag is $1.59 The cost of a 5-pound bag is $2.89 we can buy two 5-pound bags and one 2-pound bag The total cost can be: 2.89 x 2 = 5.78 (the total cost of 5-pound bags) 1.59 x 1 = 1.59 (the total cost of 2-pound bags) Now add both the costs. The total cost of both bags = 5.78 + 1.59 = 7.37. Therefore, the total cost is $7.37 Question 7. Mathematical PRACTICE 5 Use Math Tools A ride at a theme park lasts 1\(\frac{1}{2}\) minutes. It takes 2 minutes to prepare the ride for each trip. How many times can the ride be completed in 30 minutes? Answer: The minutes to last a ride at a theme park = 1 1/2 = 3/2 = 1.5 minutes The number of minutes will take to prepare the ride for each trip = 2 The number of rides we can complete in 30 minutes = M The total time = 2 + 1.5 = 3.5 If one ride requires 3.5 minutes, the number of rides that can be completed in 30 minutes M = 30/3.5 M = 8.57 M = 8 Therefore, within 30 minutes, 8 times a ride can be completed. Question 8. On Monday, 21 DVDs were checked out at the library. This is 3 less than half the amount of books checked out that day. How many books were checked out? Answer: The number of DVDs was checked on Monday = 21 half of the amount of books = 1/2b The equation can be written as: DVDs = 1/2b – 3 21 = 1/2b – 3 21 + 3 = 1/2b 24 = 1/2b (24 = b/2) b = 2 x 24 b = 48 Therefore, the number of books checked out is 48.
Question 9. Mathematical PRACTICE 4 Model Math Leo takes 30 minutes to eat dinner, 15 minutes to change clothes, and 20 minutes to walk to practice. If Leo needs to be at hockey practice at 7:15 P.M., what time does he need to begin? Answer: The time it takes Leo to eat dinner = 30 min The time it takes Leo to change clothes is 15 min The time it takes Leo to walk is 20 min Add all the minutes: 30 + 15 + 20 = 65 minutes. He needs to begin 1 hour 5 minutes before from 7:15 PM He needs to begin at 6:10 PM
McGraw Hill My Math Grade 5 Chapter 10 Lesson 12 My Homework Answer Key
Problem Solving
Question 1. Paul is decorating cupcakes for a birthday party. He can decorate \(\frac{3}{4}\) of a cupcake per minute. At this rate, how many cupcakes can he decorate in 12 minutes? Answer: The time is taken by paul to decorate 3/4 of a cupcake = 1 min The number of cupcakes he can decorate in 12 minutes = C for 3/4 th – 1 min for C – 12 min C x 1 = 3/4 x 12 C = 3 x 3 C = 9 Therefore, he can decorate 9 cupcakes in 12 minutes.
Question 2. Mathematical PRACTICE 4 Model Math To make cheesecake, you need about 2\(\frac{1}{2}\) pounds of cream cheese. How many pounds of cream cheese will you need to make 2 cheesecakes? Answer: The number of pounds of cream needed to make cheesecake = 2 1/2 = 5/2 pounds The number of pounds of cream cheese to make 2 cheesecakes = C 5/2 pounds – 1 cake C – 2 cakes C x 1 = 5/2 x 2 C = 5 Therefore, 5 pounds of cream cheese is needed.
Question 3. Scott viewed 72 classic cars at a car show. Of the cars he viewed, \(\frac{3}{8}\) were sports cars. How many sports cars did Scott view? Answer: The number of classic cars viewed by Scott = 72 The number of cars he viewed sport cars = 3/8 The number of sports = 3/8 x 72 The number of sports cars = 3 x 9 = 27 Therefore, he viewed 27 sports cars.
Question 4. Mathematical PRACTICE 5 Use Math Tools A builder is installing a fence on all four sides of a backyard. The yard is 40 feet long and 50 feet wide. How much fencing will the builder need? Answer: The number of feet for long = 40 The number of feet for wide = 50 for two sides = 40 + 40 = 80 (long) for two sides = 50 + 50 = 100 (wide) The builder needs = 80 + 100 = 180 feet.
Question 5. Misty purchased a pair of jeans that were originally $24 but was on sale for \(\frac{1}{3}\) off of the total price. How much did she save? Answer: The original amount of jeans Misty has purchased = 24 The offer = 1/3 of total price 1/3 of 24 1/3 x 24 1 x 8 = 8 Therefore, the amount she saved is $8.
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