Finding the missing term in a pair of equivalent ratios

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Information about Finding the missing term in a pair of equivalent ratios

Published on November 27, 2016

Source: slideshare.net

1. Lesson 53: Finding the Missing Term in a Pair of Equivalent Ratios

2. Explore and Discover! • Marie can make 3 small mango pies for every 5 mangoes. How many pies can she make with 25 mangoes?

3. • The ratio in the problem is 3 : 5. This means that for every 3 pies, Marie needs 5 mangoes.

4. But how do we solve the problem? We use equivalent ratios to find how many pies Marie can make with 25 mangoes.

5. To find the missing term in a pair of equivalent ratios, solve for equivalent fractions. 3 = 5 25 pies mangoes 3 x 5 = 15 Think: To get 25, you multiplied the denominator by 5 x 5 = 25 5, so we multiply the numerator by 5 also. Marie can make 15 pies.

6. Get Moving! Tell whether the following given ratios are proportions. Write YES if they are and NO if not, change one term to make them proportions. 4 5 and 28 35 2)18 : 45 and 4 : 121) 20 and 15 48 36 3) 4) 3 : 21 and 6 : 40 5) 9 : 12 and 27 : 32

7. B. Solve for the missing term in each proportion 1) 6 : n = 8 : 12 2) y : 6 = 28 : 84 3) m : 7 = 6 : 4) 14 : 21 = 2 : n 5)20 : 24 = x : 6

8. Keep Moving! Tell whether n = 22 is a reasonable answer to complete each proportion. Write YES or NO on the blank before each number. _____ 1) n = 11 _______ 3) 45 = 15 24 12 60 n _____ 2) 44 = n __ 4) n = 110 72 36 33 165

9. B. Solve for the missing term and check. 1) a = 3 2) 90 = a 3) x = 49 32 4 54 3 9 63 2 = n 5) n = 9 6) 3 = 24 5 30 17 51 10 n 4) 7)n = 32 4 24 8) 5 = 23 n 69 1 = 28 7 x 9)

10. Apply Your Skills! Solve for the missing term. 1.What number compared to 10 is the same as 28 compared to 5? 2. Lisa saves Php 60.00 in 4 weeks. At this rate, how long will it take her to save Php 300.00? 3) Six compared to 11 is the same as 84 compared to what number? 4) A motorist travelled 240 km is 3 hours. At the same rate, how long will take to travel 400 km? 5) A scale 3.5 cm on a map represents an actual distance of 175 km. What actual distance does a scale distance of 5.7 cm represent? 6) There are 24 students in a Grade V class. During a tree planting day, they planted a total of 24 mahogany and narra seedlings. Each girl planted 3 mahogany seedlings and every three boys planted 1 narra seedling. Find how many mahogany and narra seedlings each are planted by the students?