Proportions An equation that states that two ratio are equal is called a proportion. These are proportions:

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Presentation transcript:

Proportions An equation that states that two ratio are equal is called a proportion. These are proportions:

Example 1 Solve: Cross Multiply y 3y = 60 3 3 y = 20

Example 2 Solve: Cross Multiply 9x = 90 9 9 x = 10

Example 3 Solve: Cross Multiply 65x = 130 65 65 x = 2

Example 4 Solve: Cross Multiply 5 = 2w 2 2 5 = w 2

3.9 Word Problems W/Proportions For example: Mr. Sexton can eat 8 hamburgers in 2 hours. How many hamburgers can he eat in 7 hours? Think of it as a Proportion! 8 hamburgers ? hamburgers = 2 hours 7 hours What if? 8 x 2 7 = = 2 7 8 x 2x = 56 2x = 56 2 2 2 2 x = 28 hamburgers x = 28

3.9 Word Problems W/Proportions Example 2: If it takes 14 gallons of water to wash one car, how many cars can be washed with 98 gallons. Think of it as a Proportion! 14 gallons 98 gallons = 1 car ? cars 14 98 = 1 x 14x = 98 14 14 x = 7 cars

3.9 Word Problems W/Proportions Example 3: On a map, 2 inches represents 25 miles. How many miles does an 6 inch line segment represent? Think of it as a Proportion! 2 inches 6 inches = 25 miles ? miles 2 6 = 25 x 2x = 150 2 2 x = 75 miles

3.9 Word Problems W/Proportions You Try: If 5 pounds of hamburgers will serve 6 people. How much hamburger is needed to serve 36 people? Think of it as a Proportion! 5 pounds ? pounds = 6 people 36 people 5 x = 6 36 6x = 180 6 6 x = 30 pounds