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2.5 Application of Percents

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Key words: –“of” means “multiply” –“is” means “= ” –“what number?” means “x” To convert a decimal number to %, move the decimal 2 places to the right –Ex: 0.51 = 51% To convert from % to decimal number, move the decimal 2 places to the left - Ex: 6% = 0.06 Formula:

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1) 13% of 80 is what number? 0.13 * 80 = x x = 10.4 So 13% of 80 is 10.4

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2) What number is 60% of 70? So 42 is 60% of 70

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3) 43 is 20% of what number? So 43 is 20% of 215

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4) 110% of what number is 30? So 110% of 27.27 is 30

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5) 16 is what percent of 80? So 16 is 20% of 80

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6) What percent of 94 is 10.5? So 11% of 94 is 10.5

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7) A camera is on sale for $250. That was 40% of the original price. What was the original price? So the original price is $625

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8) A player completed 42.9% of his field goals. He made 283 field goals. How many did he attempt? So he attempted 660 field goals.

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9) Jerry left a $7.92 tip on a meal that costs $36. What percent of the meal’s cost was the tip? Find the total cost including the tip? So he paid 22% tip. The total cost is: 36 + 7.92 = $43.92

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10) Peter left a 18% tip on a meal. Including the tip, its cost was $35.40. What was the cost of the meal before the tip? Meal’s cost + tip = total cost x + 0.18x = 35.40 1.18x = 35.4 x = 30 So the cost of the meal before tip is $30. We should not use this formula because the total cost is more than 100% (it should be 118%). So we need to modify the formula

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11) A person’s income is $18,500 per year. Federal tax is 15% of that income. How much would that person pay for Federal income tax? So she pays $2775 for tax

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12) A purchase of $44 has a sales tax of $2.31. What is the sales tax rate (or percent)? The sale tax rate is 5.25%

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13) A pair of jeans that regularly costs $26 is on sale at 40% off. What is the sale price? So the sale price is $15.60

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14) Mary’s salary is $25,000 per year. She just gets a 26% raise. Find her new salary?

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