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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. Lesson Menu. Solve problems using a percent equation. percent equation.
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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 Lesson Menu
Solve problems using a percent equation. • percent equation Main Idea/Vocabulary
Find the Part Find 30% of 450. Estimate 10% of 450 is 45. So, 30% of 450 is 3 ● 45 or 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 ● 450 Write the percent equation. n = 135 Multiply. Answer: 135 Example 1
A B C D Find 20% of 315. A. 21 B. 49 C. 55 D. 63 Example 1
Find the Percent 102 is what percent of 150? Estimate The part is 102. The whole is 150. You need to find the percent. Let n represent the percent. part = percent ● whole 102 = n ● 150 Write the percent equation. Divide each side by 150. Example 2
Find the Percent 0.68 = n Simplify. Answer: Since 0.68 = 68%, 102 is 68% of 150. Example 2
A B C D 135 is what percent of 250? A. 42% B. 54% C. 58% D. 65% Example 2
Divide each side by 0.45. 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 144 = 0.45 ● n Write the percent equation. 320 = n Simplify. Answer: So, 144 is 45% of 320. Example 3
A B C D 186 is 30% of what number? A. 620 B. 582 C. 540 D. 476 Example 3
SALES TAX The price of a sweater is $75. The sales tax is %. What is the total price of the sweater? 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 ● 75 Write the percent equation. t = 4.3125 Multiply. The tax is $4.31. The total cost of the sweater is $75 + $4.31 or $79.31. 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 ● 75 Write the percent equation. t = 79.3125 Multiply. Answer:The total cost of the sweater is $79.31. Example 4
A B C D 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? A. $61 B. $62 C. $63 D. $65 Example 4
A B C D A.of 85 or 17 B.of 100 or 25 C.of 90 or 30 D.of 80 or 40 (over Lesson 5-6) Estimate 21% of 85. Five Minute Check 1
A B C D A. B. C. D. (over Lesson 5-6) Estimate 134% of 22. Five Minute Check 2
A B C D A. B. C. D. (over Lesson 5-6) Estimate the percent 7 out of 69. Five Minute Check 3
A B C D A. B. C. D. (over Lesson 5-6) Estimate the percent 9 out of 46. Five Minute Check 4
A B C D A. B. C. D. (over Lesson 5-6) 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. Five Minute Check 5
A B C D (over Lesson 5-6) Which is the best estimate of the percent represented by 61 out of 82? A. 25% B. 60% C. 75% D. 80% Five Minute Check 6