ALGEBRA READINESS LESSON 7-3 Warm Up Lesson 7-3 Warm-Up.

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ALGEBRA READINESS LESSON 7-3 Warm Up Lesson 7-3 Warm-Up

ALGEBRA READINESS LESSON 7-3 Warm Up Lesson 7-3 Warm-Up

ALGEBRA READINESS “Percents and Proportions” (7-3) How do you find the percent of a number? Method 3: Proportion 55 1 So 22% of 250 is 55 #% Known (Part)x 22 Unknown (Whole) = Proportion. x x = Cross products are equal. 100x = 5500 Simplify. = Divide both sides by x x = 55 Simplify.

ALGEBRA READINESS Use a proportion to find 60% of n = Write the cross products. 100n = 2,700 Simplify. n = 27Simplify. n = Write a proportion. 100n 100 2, = Isolate the variable. Use the Division Property of Equality. Percents and Proportions LESSON 7-3 Additional Examples #% Known (Part)x 60 Unknown (Whole)

ALGEBRA READINESS Suppose 11,550 students make up 14% of a city’s population. What is the population of the city? A diagram can help you understand the problem. 11,500 w = Write a proportion. 11, = 14wWrite the cross products. =Isolate the variable. Use the Division Property of Equality. 1,155, w 14 82,500 = w Simplify. Percents and Proportions LESSON 7-3 Additional Examples #% Known (Part)11, Unknown (Whole)w ,

ALGEBRA READINESS (continued) The population of the city is 82,500 people. Check for Reasonableness: 82,500 is about 80,000. Because 14% of 80,000 is 8,000 (10%) (1%) (1%) (1%) (1%) = 11,200, which is close to 11,155, the answer is reasonable. Percents and Proportions LESSON 7-3 Additional Examples

ALGEBRA READINESS 26 is what percent of 80? 26 is 32.5% of = 80pWrite the cross products. 2,600 = 80pSimplify = p Simplify. 80p 80 2, = Use the Division Property of Equality. to isolate the variable p 100 = Write a proportion. A diagram can help you understand the problem. Percents and Proportions LESSON 7-3 Additional Examples #% Known (Part)26 p Unknown (Whole)

ALGEBRA READINESS 1. Find 25% of is 75% of what number? 3. Find what percent 68 is of % 60 Percents and Proportions LESSON 7-3 Lesson Quiz