Lesson 3.4 Real-World Problems: Fractions and Decimals

Transcription

1 Lesson 3.4 Real-World Problems: Fractions and Decimals Solve. Show your work. Example Mary buys 8. pounds of flour at $.0 per pound. How much does Mary pay for the flour? 8. 3 $.0 $ is the same as Mary pays $ 2.7 for the flour.. A pint of juice costs $0.80. If Jason wants to buy 3. pints of juice, how much will he have to pay? 3 $ $ Jason will have to pay $ for the juice. 2. A gallon of gasoline costs $3.4. How much does 6.8 gallons of gasoline cost? 3. The cost of carpeting a square foot is $9.30. How much does it cost to carpet 7.8 square feet? Reteach Course A 69

2 Solve. Show your work. Example Pamela divided 3.2 pounds of dough into pieces that each weighed 0.2 pound. Into how many pieces did she divide the dough? 3.2 lb 0.2 lb 0.2 lb 0.2 lb 0.2 lb ? pieces Pamela divided the dough into 6 pieces. 4. A piece of paper is 9. centimeters long. How many.-centimeter strips of paper can be cut from the piece of paper? 9. cm. cm. cm. cm. cm? pieces 4.-centimeter strips of paper can be cut from the piece of paper.. A pharmacist pours 30 fluid ounces of medicine into some bottles. Each bottle now contains 0. fluid ounces of the medicine. How many bottles of medicine does the pharmacist fill?? bottles fl oz fl oz fl oz fl oz fl oz 70 Chapter 3 Lesson 3.4

3 6. A string 27.2 meters long is cut into shorter pieces, each measuring 3.4 meters long. How many pieces were cut from the 27.2-meters string? Solve. Show your work. Example Henry buys 2 apple pies. He gives apple pies to his family and cuts the rest into equal slices to give to his friends. If each slice is of a pie, how many 6 slices of apple pie does he give to his friends? Henry cuts 7 apple pies into slices He gives 42 slices of apple pie to his friends. Reteach Course A 7

4 7. A wooden plank is 9 feet long. Mr. Peterson cuts 3 feet off the end of the wooden plank. He then cuts the remaining piece of wood into equal pieces, each foot long. How many pieces does Mr. Peterson cut? 2 Mr. Peterson cuts feet of wood into equal pieces. 4 3 Mr. Peterson cuts pieces of wood. 8. Isaac has 0 gallons of paint. He uses 3 gallons of paint to paint a wall. He then pours the remaining paint into some containers. If each container has gallon of 4 paint, into how many containers does Isaac pour the paint? 9. Jess buys a roll of string that is 30 meters long. She uses 0 meters of string to tie a box. She then cuts the remaining string into equal pieces, each 2 3 meter long. Into how many 2 meter pieces does Jess cut the string? 3 72 Chapter 3 Lesson 3.4

5 Solve. Show your work. Example Mrs. Andre bakes banana puddings. She gives 2 of the puddings to her 3 neighbors. She cuts the remaining puddings into equal slices to give to some children. If each slice is of a pudding, how many slices does she give to the children? banana puddings neighbors Remainder 2 children Mrs. Andre cuts banana puddings into equal slices. banana puddings 4 of a pudding 3 2 She gives 2 slices of banana pudding to the children. Reteach Course A 73

6 0. Mandy has 36 cups of apple juice. She uses of the juice to make punch. 4 She then uses the remaining juice to pour single servings that are cup each. 3 How many single servings does Mandy pour? 36 cups punch single serving Remainder Mandy uses cups of apple juice to pour single servings. cups 3 cup 4 3 She pours single servings. 74 Chapter 3 Lesson 3.4

7 . Of the 20 boxes of pencils a bookstore had in stock, 2 were sold to an illustrator. The remaining boxes of pencils were sold to a local school. If the school gave of a box of pencils to each student, how many students received pencils? 6 boxes of pencils boxes of pencils were sold to a local school. boxes of pencils of a box students received the pencils. Reteach Course A 7

8 Solve. Show your work. Example Harry has 7 pizzas. He cuts the pizzas into fifths and distributes the pieces equally to his friends. Each friend receives 4 of a pizza. a) How many friends does Harry distribute the pizzas to? Round down 8 3 to 8 since there cannot be 3 of a child. 4 Harry distributes the pizzas to 8 friends. b) What fraction of the pizza is left? Harry shares of the pizzas with his friends of a pizza is left. c) What is the amount of pizza each friend will get if the remainder is divided equally among the friends? Each friend will get 8 of a pizza. If the remainder is divided equally among the friends, the 7 pizzas will be shared equally by 8 friends. 76 Chapter 3 Lesson 3.4

9 2. Mr. LeRoy has 4 pineapple pies. He cuts the pies into eighths and gives the pieces equally to his students. Each student gets 3 of the pie. 8 a) How many students does Mr. LeRoy give the pies to? When you divide 4 by 3 8, you get a mixed number. Why is this mixed number not the number of students Mr. LeRoy gave pies to? Mr. LeRoy gives the pies to students. b) What fraction of the pineapple pie is left? Mr. LeRoy gives of the pineapple pies to his students. 2 of a pineapple pie is left. c) What is the total amount of pineapple pie each student will receive if the remainder is divided evenly and distributed to each student? 4 Each student will get of a pineapple pie. Reteach Course A 77

10 3. Terence baked 6 mango puddings. He cut the puddings into sixths and shared the pieces equally with some children. Each child received of a pudding. 6 a) How many children were there altogether? b) What fraction of a pudding was left? c) What is the total amount of mango pudding each child will receive if the remainder is divided evenly and distributed among them? 78 Chapter 3 Lesson 3.4

11 4. A packet of clay weighs 4 pounds. Troy needs 9 pounds of clay for his model. How many packets of clay must he buy?. Candice needs feet of lace for her dress. A roll of lace is 7 foot. How many 0 rolls of lace does she need to buy? Reteach Course A 79

12 Solve. Show your work. Example Shirley used 3 of her money to buy a dress. She spent 8 of the remainder on a bag. a) What fraction of her money did she spend on the bag? b) If she had $240 at first, how much did the bag cost? Method a) dress remainder The model shows that: or Shirley spent 20 4 of her money $240 on the bag. bag b) 20 units $ 240 unit $ $ 2 units 2 3 $ $ 60 The bag cost $ 60. Method 2 a) Amount of money left b) Shirley spent of her money on the bag. 4 3 $ 240 $ 60 The bag cost $ Chapter 3 Lesson

13 6. Of the red and green apples in a basket, 4 are red apples. Of the green apples 7 in the basket, 2 are rotten. 9 a) What fraction of the apples in the basket are rotten? b) If there are 63 apples altogether, how many green apples are rotten? Method a) red apples green apples 63 apples rotten The model shows that: of the apples in the basket are rotten. b) units unit 4 units 3 Method 2 green apples are rotten. a) Green apples 2 3 of the apples in the basket are rotten. b) 3 green apples are rotten. Reteach Course A 8

14 7. Of the boys and girls at a school assembly, 4 9 are boys. At 9:00 a.m., of the 2 girls were dismissed. a) What fraction of the children were dismissed from the assembly at 9:00 a.m.? b) If there were 4 children altogether, how many girls were dismissed from the assembly at 9:00 a.m.? Method a) b) Method 2 a) b) 82 Chapter 3 Lesson

15 Solve. Example Bernie divides 7 of her garden into several small plots of land. Each small plot 8 of land is of her garden. 6 a) Into how many small plots of land does Bernie divide her garden? Bernie divides her garden into 4 small plots of land. b) If the total area of the garden is 60 square meters, what is the area of each small plot of land? The area of each small plot of land is 0 square meters. 8. Logan uses 6 of his money to buy some envelopes. Each envelope costs 8 of his money. a) How many envelopes does he buy? 4 3 Logan buys envelopes. b) If Logan has $36 at first, how much does each envelope cost? 3 $ $ Each envelope costs $. Reteach Course A 83

16 9. Joseph made some lemonade. He poured 2 of it into a pitcher and poured the remainder of the lemonade into glasses. Each glass contains of the lemonade 30 he made. a) Into how many glasses did Joseph pour the lemonade? 2 Joseph poured of the lemonade into glasses. 4 3 Joseph poured the lemonade into glasses. b) If Joseph made 2 gallons of lemonade, how much lemonade is in each glass? 3 Each glass has gallon of lemonade. 84 Chapter 3 Lesson