Questions and Answers
If a car is towed 12 miles to the repair shop and the tow charge is $3.50 per mile, how much does the tow cost?
The sum of two numbers is 70. One number is 8 more than the other. What's the smaller number?
A sales manager buys antacid in bottles in a gross. If he goes through 3 bottles of antacid every day, how long will the gross last?
Jenny's test grades are 93, 89, 96, and 98. If she wishes to raise her average to 95, what does she need to score on her next test?
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A waitress earns an average of 12% of the cost of the food she serves. If she serves $375 worth of food in one evening, how much money in tips will she earn on average?
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How many square feet of carpeting are needed to carpet a 12-foot × 12-foot room?
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Joe received an hourly wage of $8.15. His boss gave him a 7% raise. How much does Joe make per hour now?
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Alice leaves her house, driving east at 45 miles per hour (mph). Thirty minutes later, her husband Dave sets off after her. How fast must Dave travel in order to catch up with Alice 3 hours after he leaves?
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Miriam bought five cases of motor oil on sale. A case of motor oil normally costs $24.00, but she was able to purchase the oil for $22.50 a case. How much money did Miriam save on her entire purchase?
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A security guard walks the equivalent of six city blocks when he makes a circuit around the building. If he walks at a pace of eight city blocks every 30 minutes, how long will it take him to complete a circuit around the building?
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The population of Grand Island, Nebraska, grew by 600,000 people between 1995 and 2005, one-fifth more than the town council predicted. The town originally predicted the city's population to grow by what?
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Karl is driving in Austria, where the speed limit is posted in kilometers per hour. The car's speedometer shows that he's traveling at a rate of 75 kilometers per hour. Approximately how many miles per hour is Karl traveling?
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A carpenter earns $12.30 an hour for a 40-hour week. His overtime pay is 1.5 times his base pay. If he puts in a 46-hour week, how much is his weekly pay?
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Study Notes
Tow Charge Calculation
- A car towed 12 miles at a rate of $3.50 per mile costs $42.00 total: 12 miles × $3.50/mile = $42.00.
Sum of Two Numbers
- The smaller of two numbers summing to 70, where one number is 8 more than the other, is 31. Calculation: x + (x + 8) = 70 resolves to x = 31.
Antacid Bottles
- A gross contains 144 bottles of antacid. If 3 bottles are consumed daily, a gross lasts 48 days: 144 ÷ 3 = 48 days.
Test Grade Average
- To raise her test average to 95, Jenny needs a score of 100 on her next test. Current total scores: 93 + 89 + 96 + 98 = 376; solve for x in (376 + x) ÷ 5 = 95.
Waitress Tips Calculation
- A waitress earns 12% tips on $375 worth of food, resulting in $45 in tips. Calculation: $375 × 0.12 = $45.
Carpeting Area Requirement
- A 12-foot by 12-foot room requires 144 square feet of carpeting: 12 × 12 = 144 square feet.
Hourly Wage Increase
- After a 7% raise, Joe's wage increases to $8.72. Calculation: $8.15 × 0.07 = $0.57; then $8.15 + $0.57 = $8.72.
Catching Up in Driving
- To catch Alice driving at 45 mph after 3 hours, Dave must travel at 52.5 mph. Alice’s distance: 45 mph × 3.5 hours = 157.5 miles; Dave's speed: 157.5 miles ÷ 3 hours = 52.5 mph.
Savings on Motor Oil
- Miriam saves $7.50 by buying motor oil at $22.50 per case instead of $24.00. Calculation: ($24.00 - $22.50) × 5 cases = $1.50 savings per case; total savings = $7.50.
Security Guard Circuit Time
- A security guard takes 22.5 minutes to walk a circuit of 6 city blocks at a pace of 8 blocks every 30 minutes. Time per block: 30 minutes ÷ 8 blocks = 3.75 minutes; thus, 6 × 3.75 minutes = 22.5 minutes.
Population Growth Prediction
- Grand Island's actual population growth from 1995 to 2005 was 600,000, exceeding the town council's prediction by one-fifth. The original prediction calculated as x = 500,000.
Speed Conversion from Kilometers
- At 75 kilometers per hour, Karl is approximately traveling at 47 miles per hour. Calculation: 75 km × (5/8) mile/km ≈ 46.875 miles, rounded to 47 mph.
Carpenter's Weekly Pay
- For a 46-hour workweek, a carpenter's total pay is $602.70, including overtime. Base pay for 40 hours: $12.30 × 40 = $492; overtime rate is $18.45, yielding $110.70 for 6 overtime hours. Total = $492 + $110.70 = $602.70.
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Description
Test your skills with a variety of math problems, including charge calculations, averages, and area requirements. This quiz covers practical applications of mathematics in everyday scenarios. Challenge yourself and improve your problem-solving abilities.
