Jonathan spent four hours doing calculus problems, one hour playing Web-based video games, half an hour talking to his girlfriend, and two hours lifting weights and exercising.What percentage of his time was spent on math problems?
Answer(s): C
Add all the blocks of rime together. 4 + 1 + 0.5 + 2 = 7.5 hours totalNow multiply the time spent doing calculus (four hours) by 100 and divide it by the total time to get the percentage of time spent:4 × 100 = 400400 ÷ 7.5 = 53.3%
Mrs. H.B. found a display model of a notebook computer to use for her business for $1,400, including software. However, since the model had been discontinued and the display had no packaging material or instructions, the store manager discounted the price to $1,150.What was the percentage of the reduction?
Answer(s): D
Subtract the discounted price from the original price.$1,400 − $1,150 = $250Now multiply the amount of the discount by 100 and divide it by the original price.$250 × 100 = 25,00025,000 ÷ 1,400= 17.857142 = 17.9% discount
Heather bought a rectangular Persian rug with an outer perimeter measurement of 45 feet. If the long sides measure 15 feet each, how long is each short side of the rug?
Answer(s): A
The formula for the perimeter of a rectangle is P = 2L + 2WIf the long sides of the rug measure 15 feet each, then both long sides together equal 30 feet. Subtract the length of both long sides from the total perimeter measurement.45 − (2 × 15) = 45 −30 = 15ftNow we have the part of the perimeter made up by the short sides, but we need to divide it by two to get the length of each short side. 15 ft ÷ 2 = 7.5 ft
In the circulation department of a city newspaper, four customer service representatives each receive $320 a week, while two assistant managers earn $12 an hour each plus an average $100 per day commission.What is the average total weekly compensation paid to these six employees for a five-day, 40-hour work week?
Answer(s): B
First, add up the wages made by the four customer service reps.$320 × 4 = $1,280Now calculate how much the two assistant managers make each week.2 assistant managers × [($12 per hour × 40 hour) + (5 days per week × $100)]= 2 assistant managers × ($480 + $500)= 2 assistant managers × $980 = $1,960 per weekNow add the pay for the four customer service representatives to the pay for the two assistant managers. $1,280 + $1,960 = $3,240 total
Carpet costs $3 per square yard. The room that will be carpeted is 12 feet × 18 feet. How much will the carpet cost?
12 feet × 18 feet is equivalent to 4 yards × 6 yards = 24 square yards. 24 square yards × $3 = $72. Remember 3 feet = 1 yard, but 9 sq feet = 1 sq yard.
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