A carpenter makes and sells small tables. Some tables have three legs, and some have four legs. Last month the carpenter made 20 tables. There were a total.

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Presentation transcript:

A carpenter makes and sells small tables. Some tables have three legs, and some have four legs. Last month the carpenter made 20 tables. There were a total of 74 legs on these tables. How many tables had four legs? Using a Problem-Solving Plan COURSE 2 LESSON 1-5 Determine what you know and what you need to find out. Each table has three or four legs. On 20 tables, 74 total legs are counted. You want to find out how many of the 20 tables had four legs. 1-5

(continued) Using a Problem-Solving Plan COURSE 2 LESSON 1-5 Choose a strategy. The total number of tables has to equal 20. Since the number of possibilities isn’t very large, you can try, check, and revise to find out how many tables had four legs. Make a table to organize your work. Choose a possible answer to test. For example, you could start with 10 three-leg tables and 10 four-leg tables. Tables WithTables WithTotal NumberResult of Test 3 Legs4 Legsof Legs 1010(10 3) + (10 4) = 70low 1-5

(continued) Using a Problem-Solving Plan COURSE 2 LESSON 1-5 Since the result of the first test is too low, you need to increase the total number of legs. So increase the number of four-leg tables and decrease the number of three-leg tables. Keep testing and revising until you get 74 legs. Tables WithTables WithTotal NumberResult of Test 3 Legs4 Legsof Legs 1010(10 3) + (10 4) = 70low 911(9 3) + (11 4) = 71low 713(7 3) + (13 4) = 73low 614(6 3) + (14 4) = 74 Fourteen tables had four legs. 1-5

(continued) Using a Problem-Solving Plan COURSE 2 LESSON 1-5 Think about how you solved the problem. To check whether the answer is reasonable, look at the problem in another way. Use logical reasoning. All 20 tables have at least three legs. That accounts for 60 of the 74 legs. Since 74 – 60 = 14, 14 tables must have four legs. The answer is reasonable and checks. 1-5

Using a Problem-Solving Plan COURSE 2 LESSON 1-5 Use the problem-solving plan. Maria and Lila mounted an insect collection for life science class. There were 75 insects in the collection, and Lila mounted 29 more insects than Maria. How many insects did each mount? Lila, 52; Maria,