Mathematical Problem Sets for Everyday Scenarios

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Mathematical Problem Sets for Everyday ScenariosPerformance model1. If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?A: The following proportion may be written: 1/p=x/5. Solving for the variable, x, gives xp =5, where x=5/p. So, Lynn can type 5/p pages, in 5 minutes.A. 5/p2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, howlong will it take for both of them to paint the house together?A. 2 hours and 24 minutes2. A: Sally can paint 1/4 of the house in 1 hour. John can paint 1/6of the same house in 1 hour. In order to determine how long it will take them to paint thehouse, when working together, the following equation may be written: 1/4 x+1/6 x=1. Solvingfor x gives 5/12 x=1, where x = 2.4 hours, or 2 hours, 24 minutes.1+1= 24 *6=24/2=12*2=243. Employees of a discount appliance store receive an additional 20% off of the lowest priceon an item. If an employee purchases a dishwasher during a 15% off sale, how much will hepay if the dishwasher originally cost $450?D: Sale Price = $450-0.15($450) = $382.50,Employee Price = $382.50-0.2($382.50) = $306450*.15=67.50382.50*.20=76.50 =306.4. The sales price of a car is $12,590, which is 20% off the original price. What is the originalprice?(Original Price) = 0.8(Original Price), Original Price = $12,590/0.8 = $15,737.50D. $15,737.505. Solve the following equation for A : 2A/3 = 8 + 4AA: In order to solve for A, both sides of the equation may first be multiplied by 3. This iswritten as 3(2A/3)=3(8+4A) or 2A=24+12A. Subtraction of 12A from both sides of theequation gives-10A=24. Division by-10 gives A =-2.4.A.-2.46. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of theirages is 41. Then how old is Sue?A. 87. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest willhe receive?E. $1,200

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8. Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. Howmuch did the statue originally cost him?8. A: $670 = Cost + 0.35(Cost) =1.35(Cost), Cost =$670/1.35 =A. $496.309. Thecity council has decided to add a 0.3% tax on motel and hotel rooms. If a travelerspends the night in a motel room that costs $55 before taxes, how much will the city receivein taxes from him?The amount of taxes is equal to $55*0.003, or $0.165. Rounding to thenearest cent gives 17 cents.D. 17 cents10. A student receives his grade report from a local community college, but the GPA issmudged. He took the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hourcredit science course, a 3 hour credit mathematics course, and a 1 hour science lab. Hereceived a "B" in the art class, an "A" in the history class, a "C" in the science class, a "B" inthe mathematics class, and an "A" in the science lab. What was his GPA if the letter gradesare based on a 4 point scale? (A=4, B=3, C=2, D=1, F=0)C: The GPA may be calculated bywriting the expression, ((3*2)+(4*3)+(2*4)+(3*3)+(4*1))/13, which equals 3, or 3.0.C. 3.011. Simon arrived at work at 8:15 A.M. and left work at 10: 30 P.M. IfSimon gets paid by thehour at a rate of $10 and time and ½ for any hours worked over 8 in a day. How much didSimon get paid?C: From 8:15 A.M. to 4:15 P.M., he gets paid $10 per hour, with the totalamount paid represented by the equation, $10*8=$80. From 4:15 P.M. to 10:30 P.M., he getspaid $15 per hour, with the total amount paid represented by the equation, $15*6.25=$93.75.The sum of $80 and $93.75 is $173.75, so he was paid $173.75 for 14.25 hours of work.C. $173.7512. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones.What is the minimum number of jellybeans she must take out of her pocket to ensure that shehas one of each color?D: If she removes 13 jellybeans from her pocket, she will have 3jellybeans left, with each color represented. If she removes only 12 jellybeans, green or bluemay not be represented.D. 1313. If r = 5 z then 15 z = 3 y, then r =A: The value of z may be determined by dividing both sides of the equation, r=5z, by 5.Doing so gives r/5=z. Substituting r/5 for the variable, z, in the equation, 15z=3y, gives15(r/5)=3y. Solving for y gives r = y.A. y

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