3 kilograms per hour

Transcription

1 Unit Rates with Speed and Price- Step-by-Step Lesson Lesson 1 Unit Rate Problem: Sally is making pies. Sally took 2 hours to knead the dough. The dough contained 6 kilograms of flour. How long do you think it will take Sally to knead 36 kilograms of flour? Solve using unit rates. Explanation: Step 1) First we have to find the unit rate. 3 kilograms per hour Step 2) Now we have to use the unit rate in the formula. Time kneading dough = unit rate x hours worked 36 = 3 x n 12 = n Kneading 36 kilograms of flour took Sally 12 hours.

2 Unit Rates with Speed and Price - Guided Lesson Complete the following problems: 1) Kate stitches 8 dresses in 2 weeks. After 7 weeks how many dresses should be stitched? Solve using unit rates. 2) Maria threw a party for the promotion she received. The party costs $20 for two people. If she invited 20 guests, what would the cost be? Solve using unit rates. 3) Troy rides his bike 75 kilometers in 1 hour. He rides for another 5 hours. How many kilometers can Troy ride in that time is he maintains his pace? Solve using unit rates.

3 Unit Rates with Speed and Price - Guided Lesson Explanation Explanation#1 Step 1) We have to find the unit rate. 4 dresses per week Step 2) Now we have to use the unit rate in the formula. Stitched dresses = unit rate x weeks worked = 4 x 7 = 28 So, after 7 weeks 28 dresses should be stitched. Explanation#2 Step 1) First we have to find the unit rate. $ $10 per person Step 2) Now we have to use the unit rate in the formula. Total people = unit rate x costs 20 =10 x n 200 = n Maria has to bear $200 in expenses, if she invites 20 guests.

4 Explanation#3 Step 1) Unit rates again. Big surprise! 75 kilometers per hour Step 2) Now we have to use the unit rate in the formula. Total kilometers = unit rate x hours =75 x 5 = 375 So, he can ride an additional 375 kilometers in 5 hours.

5 Unit Rates with Speed and Price - Independent Practice Worksheet Complete all the problems. Solve using unit rates. 1. Sam can prepare 20 wall paintings in four weeks. How much time will he need to prepare 80 wall paintings? 2. Sonya can walk 6 kilometers in 3 hours. If she has to walk 10 kilometers, how much time will it take her? 3. Tom always keeps his 4 gardens clean. He takes 20 minutes to clean a single garden. How much time will it take to clean all four gardens? 4. Veronica loves to create creative things. She can make 5 craft pieces in 5 days. On the basis of a contract she has to make 20 pieces of crafts. How many days will she take? 5. Brown has his own bakery. He baked 5 cakes per day. Due to the occasion of Christmas, he started to bake 12 cakes per day. In the whole Christmas week how many cakes will he bake?

6 6. Mr. White can travel for 6 hours while taking 3 breaks of 10 minutes each. Once, he had to travel for 36 hours. How many minutes in breaks did he take? 7. Sofia learned 10 recipes to create party dishes. She learned these recipes in two weeks. How many recipes can Sofia learn in 5 weeks? 8. In our class, our class teacher gave us a project to complete in 15 days. If the teacher assigned 4 consecutive projects, how many days will you have to complete the projects? 9. Miss Bird is going to launch an exhibition. Miss Bird can make 8 sculptures in 6 months. If she prepared 12 sculptures, how much time would she take? 10. Charles is going to buy 3 computer tables for $390. If he pays the same rate, how much would it cost for 8 computer tables?

7 Unit Rates with Speed and Price - Matching Worksheet Match the word problems to their answers. Write the letter of the answer that matches the problem. 1. Alice has to write 5 pages in 30 minutes. Ricky has to write 6 pages in 35 minutes. If together they can write 10 pages in 50 minutes, how many pages they can write in 60 minutes? 2. David learned 15 definitions in 90 minutes. How much time will he take to learn 10 definitions? a. 25 days b. 12 pages 3. Lilly can prepare 24 paper boxes in three weeks. How much time will she take to prepare 120 boxes? c. 8 dresses 4. A painter can paint 20 windows in 5 days. If he has to paint 50 pairs of windows, how much time will he take to paint them? d. 30 minutes 5. Silver washed her dresses. She ironed them in 40 minutes. If she can iron 2 dresses in 10 minutes, write the number of the dresses, she had washed. e. 15 weeks 6. Jack had to frame 12 glasses in 2 days. How many days will he take to frame 30 glasses? f. 15 hours 7. Steve can knit two pairs of gloves in 5 hours. Steve has to knit 6 pairs of gloves. How many hours will he need? g. 5 days

8 Name: Date Topic : Unit Rates- Worksheet 1 Determine the rate 1. A 9-kg bag of mangoes for $ miles in 8 hours 3. Type 1500 words in 30 minutes words per minute jumps for 7 hours per hour calories for 5 servings of candy calories per serving chairs in 40 rows in each row students in 4 buses in each bus 8. A phone calls costs $7 for 3 minutes $ per minute 9. 6,000 miles in 3 hours 10. A 10-kg bag of cherries for $8

9 Name: Date Topic : Unit Rates- Worksheet 2 Determine the rate 1. A 10-kg bag of grapes for $ miles in 5 hours 3. Type 500 words in 20 minutes words per minute jumps for 3 hours per hour calories for 8 servings of cakes calories per serving chairs in 10 rows in each row 7. 6 students in 2 cars in each car 8. A phone calls costs $10 for 5 minutes $ per minute 9. 3,000 miles in 5 hours 10. A 15-kg bag of strawberry for $8

10 Name: Date Topic : Unit Rates- Worksheet 3 Determine the rate 1. A 12 kg bag of pineapples for $ miles in 7 hours 3. Type 800 words in 25 minutes words per minute jumps for 2 hours per hour calories for 7 servings of pastries calories per serving chairs in 11 rows in each row students in 2 ships in each ship 8. A phone calls costs $15 for 5 minutes $ per minute 9. 5,000 miles in 8 hours 10. A 10-kg bag of oranges for $20

11 Name: Date Topic : Unit Rates- Worksheet 4 Determine the rate 1. A 20 kg bag of bananas for $ miles in 9 hours 3. Type 900 words in 15 minutes words per minute jumps for 4 hours per hour calories for 10 servings of ice-cream calories per serving chairs in 10 rows in each row students in 4 buses in each bus 8. A phone calls costs $16 for 2 minutes $ per minute 9. 7,000 miles in 10 hours 10. A 14 kg bag of pears for $17

12 Name: Date Topic : Unit Rates- Worksheet 5 Determine the rate 1. A 16 kg bag of watermelon for $ miles in 5 hours 3. Type 700 words in 10 minutes words per minute jumps for 2 hours per hour calories for 12 servings of pizza calories per serving chairs in 8 rows in each row students in 8 buses in each bus 8. A phone calls costs $18 for 3 minutes $ per minute 9. 9,000 miles in 9 hours 10. A 10 kg bag of papayas for $15