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Chapter 6 Study GuideShort AnswerFind each number. Round to the nearest tenth if necessary.1.What is 34% of 100?2.38.5% of 290 is what number?3.What number is 0.1% of 600?4.Find 65% of 1240.Find each number. Round to the nearest tenth if necessary.5.What number is 16.8% of 460?Find each percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or decrease.6.original: $85new: $607.original: 100new: 568.original: 517new: 527.349.original: 492new: 442.8Find the total cost to the nearest cent.10.$69.95 remote control car; 7% sales tax11.$110.40 summer camp; 6.5% sales taxFind the percent of discount to the nearest percent.12.skateboard: regular price, $24sale price, $15.5013.television: regular price, $225 sale price, $18514.Kertis wants to buy a certain radio. Music ‘N More has the radio on sale for $95.99 with 30% off. The same radio is on sale at Electronics Plus for $120.00 with 40% off. Where should Kertis buy the radio for the cheapest price? How much will he spend?In a survey, 1,851 people were asked to choose their favorite Major League Baseball team. The top 5 choices are shown. Use the information for the following problems.15.About how many more people chose the Cubs over the Dodgers?16.Quicklime contains 22.6% of oxygen by weight. Determine the weight of oxygen in 750 gm quicklime.17.From a cask containing 500 liters of gas, 9% of the gas was lost by leakage and evaporation. How many liters of gas were left in the cask?18.This winter, Mountain High Slopes sold 576 lift season passes. This is 400% more from last winter. How many lift passes were sold last winter?19.Calvin saves 35% of his allowance each week. If he saves $28 in 5 weeks, how much allowance does Calvin receive each week?20.Townsend Lane is made up of 14 houses. On average, the people who live there leave 61.7 pounds of garbage on the curbside every week for pick up. As a street, the residents have agreed to decrease their household garbage weight by 15%. How much garbage will each household put out for pickup next week if each household sticks to the goal?21.Without calculating, arrange the following from the least value to the greatest value.15% of 10040% of 30040% of 10015% of 50022.Find the average percent of change in population from 2000 to 2040, and predict what the U.S. population will be in 2050.23.A restaurant bill comes to $39.24. Find the total cost if the tax is 7% and a 15% tip is left on the amount before tax.24.Thomas wants an MP3 player that costs $189 for his birthday. The MP3 player is on sale for 20% off. His grandmother agreed to purchase it because she gets an additional 10% with her senior citizen discount. He has to pay her back 50% of the MP3 player’s actual cost. How much will Thomas have to pay his grandmother?25.Ralph earns $2,100 cutting lawns during the summer. If Ralph invests his money at 3% interest, in how many years will he have $2,226?26.Penelope bought a new recliner for her family room. The total price for the recliner was $1,165. She paid a 20% down payment at the time of the purchase, and she charged the difference. The interest rate on her credit card is 13.25%. How much will she owe after 3 months if no payments were made since the down payment?27.Maya deposited $150 into an account that pays 3.25% annually. At the end of the year, the interest earned is added to the principal. Find the total amount in her account each year for 4 years, if she does not withdraw or deposit any money.Chapter 6 Study GuideAnswer SectionSHORT ANSWER1.ANS:34Write 34% as a decimal and multiply by 100.0.34(100) = 34PTS:1DIF:BasicREF:PercentsOBJ:6-1.1 Find the percent of a :Find the percent of a number.KEY:Percent | Proportions2.ANS:111.7Write 38.5% as a decimal and multiply by 290.0.385(290) = 111.65Round to the nearest tenth.111.7PTS:1DIF:AverageREF:PercentsOBJ:6-1.1 Find the percent of a :Find the percent of a number.KEY:Percent | Proportions3.ANS:0.6Write 0.1% as a decimal and multiply by 600.0.001(600) = 0.6PTS:1DIF:AverageREF:PercentsOBJ:6-1.1 Find the percent of a :Find the percent of a number.KEY:Percent | Proportions4.ANS:812.2Write 65% as a decimal and multiply by 1,240.0.655(1240) = 812.2PTS:1DIF:AverageREF:PercentsOBJ:6-1.1 Find the percent of a :Find the percent of a number.KEY:Percent | Proportions5.ANS:77.3Set up a proportion to solve for the number.PTS:1DIF:AverageREF:Proportions and EquationsOBJ:6-2.1 Solve problems using the percent :Solve problems using the percent proportion.KEY:Percent proportion | Problem solving6.ANS:29% decreasePTS:1DIF:AverageREF:Applying PercentsOBJ:6-3.1 Find the percent of increase or :Find the percent of increase or decrease.KEY:Percent of increase | Percent of decrease7.ANS:44% decreasePTS:1DIF:BasicREF:Applying PercentsOBJ:6-3.1 Find the percent of increase or :Find the percent of increase or decrease.KEY:Percent of increase | Percent of decrease8.ANS:2% increasePTS:1DIF:AverageREF:Applying PercentsOBJ:6-3.1 Find the percent of increase or :Find the percent of increase or decrease.KEY:Percent of increase | Percent of decrease9.ANS:10% decreasePTS:1DIF:AverageREF:Applying PercentsOBJ:6-3.1 Find the percent of increase or :Find the percent of increase or decrease.KEY:Percent of increase | Percent of decrease10.ANS:$74.85PTS:1DIF:AverageREF:Applying PercentsOBJ:6-3.4 Solve problems involving sales tax and :Solve problems involving sales tax.KEY:Sales tax | Problem solving11.ANS:$117.58PTS:1DIF:AverageREF:Applying PercentsOBJ:6-3.4 Solve problems involving sales tax and :Solve problems involving sales tax.KEY:Sales tax | Problem solving12.ANS:35%PTS:1DIF:AverageREF:Applying PercentsOBJ:6-3.5 Solve problems involving :Solve problems involving discount.KEY:Discounts | Problem solving13.ANS:18%PTS:1DIF:AverageREF:Applying PercentsOBJ:6-3.5 Solve problems involving :Solve problems involving discount.KEY:Discounts | Problem solving14.ANS:Music ‘N More; $67.19Music ‘N More: 95.99 ? 0.30 = 28.8095.99 – 28.80 = 67.19Electronics Plus: 120.00 ? 0.40 = 48.00120.00 – 48.00 = 72.00PTS:1DIF:AdvancedREF:PercentsOBJ:6-1.1 Find the percent of a :Solve multi-step problems.KEY:Multi-step | Problem solving15.ANS:185 peopleCubs: 1,851 ? 0.18 ? 333Dodgers: 1,851 ? 0.08 ? 148333 – 148 = 185PTS:1DIF:AverageREF:PercentsOBJ:6-1.4 Estimate percents by using fractions and :Solve multi-step problems.KEY:Multi-step | Problem solving16.ANS:169.5 gm22.6% of 750=Write the expression.=Write 22.6% as a decimal.=169.5Multiply.So, the weight of oxygen in 750 gm quicklime is 169.5 gm.PTS:1DIF:AverageREF:PercentsOBJ:6-1.4 Estimate percents by using fractions and :Estimate percents by using fractions and decimals.KEY:Estimate percents | Fractions | Decimals17.ANS:45 liters9% of 500=_Write the expression.=_Write 9% as a decimal.=45Multiply.So, 45 liters of gas were left in the cask.PTS:1DIF:AverageREF:PercentsOBJ:6-1.4 Estimate percents by using fractions and :Estimate percents by using fractions and decimals.KEY:Estimate percents | Fractions | Decimals18.ANS:144 lift passes = 576 · 100 = 400n 57,600 = 400n = 144 = nPTS:1DIF:BasicREF:Proportions and EquationsOBJ:6-2.1 Solve problems using the percent :Solve multi-step problems.KEY:Multi-step | Problem solving19.ANS:$16 28 ÷ 5 = 5.60 = 100 · 5.60 = 35n 560 = 35n = 16 = nPTS:1DIF:AverageREF:Proportions and EquationsOBJ:6-2.1 Solve problems using the percent :Solve multi-step problems.KEY:Multi-step | Problem solving20.ANS:about 3.75 pounds per household = 15 · 61.7 = 100n 925.5 = 100n = 9.255 = n61.7 – 9.255 = 52.44552.445 ÷ 14 ? 3.75PTS:1DIF:AdvancedREF:Proportions and EquationsOBJ:6-2.1 Solve problems using the percent :Solve multi-step problems.KEY:Multi-step | Problem solving21.ANS:1) 15% of 100 = 152) 40% of 100 = 403) 15% of 500 = 754) 40% of 300 = 120PTS:1DIF:AdvancedREF:Proportions and EquationsOBJ:6-2.1 Solve problems using the percent :Solve multi-step problems.KEY:Multi-step | Problem solving22.ANS:7.275%; 399 million people2000 – 2010: 300 – 281 = 19 19 ÷ 281 = 0.0676 = 6.8% increase2010 – 2020: 324 – 300 = 24 24 ÷ 300 = 0.08 = 8% increase2020 – 2030: 350 – 324 = 26 26 ÷ 324 = 0.0802 = 8% increase2030 – 2040: 372 – 350 = 22 22 ÷ 350 = 0.0629 = 6.3% increase6.8 + 8 + 8 + 6.3 = 29.129.1 ÷ 4 = 7.2752040 – 2050 = 7.275% increase372 ? 0.07275 = 27.063372 + 27 = 399PTS:1DIF:AdvancedREF:Applying PercentsOBJ:6-3.1 Find the percent of increase or :Solve multi-step problems.KEY:Multi-step | Problem solving23.ANS:$47.8839.24 ? 0.07 = 2.7539.24 ? 0.15 = 5.8939.24 + 2.75 + 5.89 = 47.88PTS:1DIF:AverageREF:Applying PercentsOBJ:6-3.4 Solve problems involving sales tax and :Solve multi-step problems.KEY:Multi-step | Problem solving24.ANS:$68.04189 ? 0.2 = 37.8189 – 37.8 = 151.2151.20 ? 0.1 = 15.12151.2 – 15.12 = 136.08136.08 ? 0.5 = 68.04PTS:1DIF:AdvancedREF:Applying PercentsOBJ:6-3.5 Solve problems involving :Solve multi-step problems.KEY:Multi-step | Problem solving25.ANS:2 yearsPTS:1DIF:AverageREF:Applying PercentsOBJ:6-3.6 Solve problems involving simple :Solve real-world problems involving simple interest.KEY:Simple interest | Problem solving26.ANS:$962.871,165 ? 0.20 = 233.001,165 – 233.00 = 932.00932.00 ? 0.1325 = 123.49123.49 ÷ 12 = 10.29 ? 3 ? 30.82932.00 + 30.87 = 962.87PTS:1DIF:AdvancedREF:Applying PercentsOBJ:6-3.6 Solve problems involving simple :Solve multi-step problems.KEY:Multi-step | Problem solving27.ANS:YearAmount1$154.882$159.913$165.114$170.48PTS:1DIF:AverageREF:Applying PercentsOBJ:6-3.6 Solve problems involving simple :Solve multi-step problems.KEY:Multi-step | Problem solving ................
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