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Math Check Solutions

Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
Chapter 16



Chapter 1

Goods and Services
Calculate a retail purchase: You just bought a new bicycle for $250 plus 8 percent sales tax. Assembly costs $35. What is your total bill?

Answer: $250 × 1.08 = $270; $270 + 35 = $305 total

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Chapter 2

Toy Store
Rita just opened her own toy store. Her start-up costs were $25,020. Her rent and monthly expenses for the first year will be $30,000. How much will she need to make per month in the first year to cover these costs?

Answer: $25,020 + $30,000 = $55,020; $55,020 ÷ 12 = $4,585

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Chapter 3

The Best Choice
Hideo would like to buy a new stereo. He sees two ads for stereos in the newspaper. The warehouse store has the model he wants for $115.99. The department store has the same model at $139, but all stereos are 20 percent off this week. Which store should he go to for the best deal?

Answer: $139 x .20 = $27.80; $139 - $27.80 = $111.20; the department store

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Chapter 4

Home Earnings
Yolanda hosted a party for a company that sells decorative candles at home parties. She received a 30 percent discount on all candles as compensation. She bought holiday gifts totaling $362. What amount did she have to pay including 8 percent sales tax?

Answer: $362.00 x .30 = $108.60; $362.00 - $108.60 = $253.40; $253.40 x .08 = $20.27; $253.40 + $20.27 = $273.67

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Chapter 5

Retail Culture
Alita makes salsa to sell at Peruvian Culture Night at her school. She buys the salsa ingredients for $25.09, and two boxes of containers for $3.29 each. She sells each container of salsa for $3.75. She sells 23 salsa containers. How much profit has she made?

Answer: $25.09 + [$3.29 × 2] - $31.67; $3.75 × 23 = $86.25 - $31.67 = $54.58

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Chapter 6

Turning It Over
Thahn’s watch store just celebrated one year in business. Thahn wants to know the stock-turnover rate for six months to check his progress. Over 12 months, his sales totaled $156,000. His average inventory on hand totaled $68,000. What was the rate?

Answer: $156,000 ÷ $68,000 = 2.29

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Chapter 7

Open-to-Buy
Ayesha is running a beach shop. In June, her planned purchases total $3,300. She’s ordered merchandise that costs $1,400 and received a shipment of goggles for $300. What is her open-to-buy figure?

Answer: $3,300 - ($1,400 + 300) = $1,600

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Chapter 8

Rent or Buy?
Tera is about to open a motorcycle shop. He must choose between a space for rent or a small building for sale. The rent is $1,200 per month, but he cannot make any improvements. The monthly payment for the building would be $800, but he must pay taxes and extra insurance at $300/month. What is the better monthly rate?

Answer: Rent = $1,200; Buy = $800 + $300 = $1,100. Buying gives the better monthly rate.

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Chapter 9

Impulsive Budget
Donovan went grocery shopping with $55. His total bill was $53.50, but he noticed a special on candy bars as he was checking out: three for $2.50. Did he have enough money to buy the candy too?

Answer: $53.50 + $2.50 = $56; $56 - $55 = $1. Donovan was short $1.

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Chapter 10

Mega-Gem
How much does the 3,107-carat Star of Africa diamond weigh in grams if one carat equals .2 grams?

Answer: 3,107 × .2 = 621.4 grams

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Chapter 11

Add It Up
Once a week, Tasca teaches karate to 31 students in a 90-minute class for $23 per person. She was able to “sell” 11 students on taking weekly private lessons at $55 per lesson. How much does Tasca receive each week?

Answer: 31 × $23 = $713; 11 × $55 = $605; $713 + $605 = $1,318

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Chapter 12

Bonus Time
Livian has sold $2,320 worth of merchandise. How much will her commission be if she gets a 20 percent commission plus 5 percent more on amounts over $1000?

Answer: $2,320 × .2 = $464; $2,320 - $1,000 = $1,320; $1,320 × .05 = $66; $464 + $66 = $530

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Chapter 13

Measuring Markdowns
Lois marks down all Halloween merchandise by 40 percent. How much would her shop take in if she sold 35 jack-o-lanterns originally priced at $9.95 and 50 ghosts originally priced at $14.95?

Answer: $9.95 × .4 = $3.98; $9.95 - $3.98 = $5.97; $5.97 × 35 = $208.95
$14.95 × .4 = $5.98; $14.95 - $5.98 = $8.97 × 50 = $448.50 + $657.45 = $1,105.95

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Chapter 14

Calculate Job Decline
According to the U.S. Department of Labor, 148,000 people are employed as buyers – a job sector that is declining. If that career declines at a rate of two percent per year, how many buyers will be employed in three years? (Round up all fractions in your calculations).

Answer: 148,000 × .02 = 2,980; 148,000 - 2,980 = 145,020; 145,020 × .02 = 2,900; 145,000 – 2,900 = 142,120; 142,120 x .02 = 2,842; 142,120 – 2,842 = 139,278

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Chapter 15

Comparing Paychecks
Jonas has been working at a toy store and earns $8 per hour. During the school year, he worked 20 hours a week. Now that school has ended, he will work 35 hours per week. How much more money will Jonas earn each week over the summer than he did each week during the school year?

Answer: 20 × $8 = $160; 35 × $8 = $280; $280 - $160 = $120 more per week

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Chapter 16

Living Wages
Larissa is applying for two entry-level jobs. One pays $9.50 an hour for 35 hours a week. The other pays $8.50 an hour for 40 hours a week. Which job would give Larissa more income each week?

Answer: $9.50 × 35 = $332.50; $8.50 × 40 = $340; 40 hours at $8.50 gives Larissa more income.

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