9 Is What Percent Of 20 – 1st year 8-9 percentage calculation Warm-up Write each decimal fraction as a percentage and a fraction. 3. 0.2 19 50 __ 38%, 3 50 __ 6%, 1 5 __ 20%,
Year 1 8-9 Percent Problem Today’s Problem Lucky Jim won $16,000,000 in the lottery. He spent 50 percent of the remaining money every year for ten years. How much money did Lucky Jim make in 10 years? $15,625
9 Is What Percent Of 20
5 Year 1 Percent Problems 8-9 Use the following ratio to find the ratio of one number to another as a percentage. % 100 = means that if you are looking for 45% of 420, the percent sign will be changed to 45 and the “of” will be changed to 420. The 100 in the first denominator is always the same. The “case” part is what you want to look for.
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1st year 8-9 percent calculation Additional example 1: Application There are 560 students in Ella’s school. If 35% of students play sports outside of school, how many students play sports outside of school? First rate the answer. Consider: 35% = , which is close to , and 560 is close to 600. That is, approximately 1 student plays sports outside of school. 35 100 ___ 1 3 __ 1 3 __ • 600 = 200 This is an approximation. Helpful Hint: “What number of 560 is equal to 100 to 35?” ask.
Year 1 8-9 percent calculation Additional example 1 (continued) Solve the following: Show the number of students who play sports outside of school. 35 100 ___ s 560 ___ = 100 • s = 35 • 560 Cross products are equal. 100s = 19600s multiplied by 100. 100s 100 ____ 19, 600 100 _____ Divide both sides of the equation by 100 to avoid multiplication. = s = 196 is close to our guess of 196 200, so 196 is a reasonable answer. 196 students are engaged in extracurricular sports.
1st year 8-9 percent calculation Try this: Example 1 Tisha’s school has 480 students. If 70% of the students participate in the fundraising program, how many students participate in the fundraising program? First rate your answer. Consider: 70% = , which is close to , and 480 is close to 500. That is, approximately 1 student plays sports outside of school. 70 100 ___ 3 4 __ 3 4 __ • 500 = 375 This is an estimate.
Year 1 8-9 percent problem Try this: Continued Example 1 Now solve: Let’s represent the number of students participating in a fundraising program. 70 100 ___ s 480 ___ = 100 • s = 70 • 480 Cross products are equal. 100 seconds = 33, 600 seconds multiplied by 100. 100 seconds 100 ____ 33, 600 100 _____ Divide both sides of the equation by 100 to avoid multiplication. = s = 336 336 is a reasonable answer because 336 is close to the guess of 375. 336 students participated in the fundraising program.
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Year 1 8-9 Percent Problems Additional Example 2: Application Johan completed 25% of the exercises. If he has exercised for 20 minutes so far, how much more exercise will he need? Since he is 25% of the exercise done, 20 minutes is 25% of the total time required. % 100 ___ set __ things = relation. The “it” part is what you want to look for. 25 100 ___ 20 m __ = 100 • 20 = 25 • m The cross products are equal.
Year 1 8-9 Percent Problem Additional Exercise 2 Continued Multiply 2000 = 25mm m by 25. 2, 000 25 _____ 25m 25 ____ Divide both sides by 25 to avoid multiplication. = 80 = m Time required for training is 80 minutes. Until now, the exercises lasted 20 minutes. – 20 = 60, so Johann finishes in 60 minutes.
Year 1 8-9 percent problems Try this: Example 2 Phil has done 30% of his homework. If he has worked for 15 minutes so far, how much more work does he have to do? Since 30% of the exercises are done, 15 minutes is 30% of the total time required. % 100 ___ set __ things = relation. The “it” part is what you want to look for. 30 100 ___ 15 m __ = 100 • 15 = 30 • m Cross products are equal.
Year 1 8-9 percent problem Try this: Example 2 (continued) Multiply 1500 = 30mm m by 30. 1, 500 30 _____ 30m 30 ____ Divide both sides by 30 to avoid multiplication. = 50 = m The time needed to do the homework is 50 minutes. So far it has taken me 15 minutes to complete my homework. – 15 = 35, so the filling will be completed in 35 minutes.
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14 Year 1 8-9 Percent Problems Instead of using ratios, you can also multiply to get a percentage of a number.
Year 1 8-9 Percent Problems Additional Example 3: Multiplying Percentages of Numbers A. Find 36% of 50. 36% = 0.36 percent written as a decimal. 0.36 • 50 Multiplication using decimals. 18 So the number 18 is 36% of the number 50. B. Find 17% of the number 95. 17% = 0.17 percent is written as a decimal. 0.17 • 95 Multiplication using decimals. So 16.15 is 17% of 95.
Year 1 8-9 Percent Problems Try This: Example 3 A. Find 20% of 70. Write 20% = 0.20 percent as a decimal. 0.20 • 70 Multiplication using decimals. 14 So the number 14 is 20% of 70. B. Find 12% of 83. 12% written as a decimal = 0.12 percent. 0.12 • 83 Multiplication using decimals. 9.96 So 9.96 is 12% of 83.
1st year 8-9 percentage problems Enter the subject of the lesson here. Test for lesson 1. Find 28% of 310 questions. 2. Find 70% of the 542 questions. 3. Marta is taking a test with 100 questions. He completed 60% of the test in 45 minutes. 4. Crystal has a collection of 72 coins. If 25% of them are Canadian, how many Canadian pennies does he have?86.8 379.4 30 minutes 18
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