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Lesson Menu Five-Minute Check (over Lesson 5–6) Main Idea and Vocabulary Example 1:Find the Part Example 2:Find the Percent Example 3:Find the Whole Concept Summary: The Percent Equation Example 4:Real-World Example

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Main Idea/Vocabulary percent equation Solve problems using a percent equation.

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Example 1 Find the Part Find 30% of 450. Estimate 10% of 450 is 45. So, 30% of 450 is 3 ● 45 or 135. Answer: 135 The percent is 30. The whole is 450. You need to find the part. Let n represent the part. part = percent ● whole n= 0.3● 450Write the percent equation. n= 135Multiply.

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1.A 2.B 3.C 4.D Example 1 A.21 B.49 C.55 D.63 Find 20% of 315.

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Example 2 Find the Percent 102 is what percent of 150? The part is 102. The whole is 150. You need to find the percent. Let n represent the percent. part = percent ● whole 102 = n ● 150Write the percent equation. Divide each side by 150. Estimate

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Example 2 Find the Percent 0.68 = nSimplify. Answer: Since 0.68 = 68%, 102 is 68% of 150.

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1.A 2.B 3.C 4.D Example 2 A.42% B.54% C.58% D.65% 135 is what percent of 250?

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Example 3 Find the Whole 144 is 45% of what number? Estimate 144 is 50% of 288. The part is 144. The percent is 45. You need to find the whole. Let n represent the whole. part = percent ● whole Answer: So, 144 is 45% of 320. 144 = 0.45 ● nWrite the percent equation. Divide each side by 0.45. 320 = nSimplify.

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1.A 2.B 3.C 4.D Example 3 A.620 B.582 C.540 D.476 186 is 30% of what number?

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CS

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Example 4 Method 1 Find the amount of the tax first. The whole is $75. The percent written as a decimal is 0.0575. You need to find the amount of the tax, or the part. Let t represent the amount of tax. part = percent ● whole t = 0.0575 ● 75Write the percent equation. t = 4.3125Multiply. The tax is $4.31. The total cost of the sweater is $75 + $4.31 or $79.31. SALES TAX The price of a sweater is $75. The sales tax is %. What is the total price of the sweater?

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Example 4 Method 2 Find the total percent first. Find 100% + 5.75% or 105.75% of $75 to find the total cost, including tax. Let t represent the total cost. part = percent ● whole t = 1.0575 ● 75Write the percent equation. t = 79.3125Multiply. Answer: The total cost of the sweater is $79.31.

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1.A 2.B 3.C 4.D Example 4 A.$61 B.$62 C.$63 D.$65 SALES TAX The price of a pair of shoes is $60. The sales tax is 5 percent. What is the total price of the shoes?

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1.A 2.B 3.C 4.D Five Minute Check 1 Estimate 21% of 85. (over Lesson 5-6) A.of 85 or 17 B.of 100 or 25 C.of 90 or 30 D.of 80 or 40

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1.A 2.B 3.C 4.D Five Minute Check 2 Estimate 134% of 22. (over Lesson 5-6) A. B. C. D.

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1.A 2.B 3.C 4.D Five Minute Check 3 Estimate the percent 7 out of 69. (over Lesson 5-6) A. B. C. D.

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1.A 2.B 3.C 4.D Five Minute Check 4 Estimate the percent 9 out of 46. (over Lesson 5-6) A. B. C. D.

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1.A 2.B 3.C 4.D Five Minute Check 5 There were 1,652 oak trees in a forest. Only 397 of the oak trees survived a fire. Estimate the percent of oak trees that survived. (over Lesson 5-6) A. B. C. D.

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1.A 2.B 3.C 4.D Five Minute Check 6 A.25% B.60% C.75% D.80% Which is the best estimate of the percent represented by 61 out of 82? (over Lesson 5-6)

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