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Mathematical Problem Sets for Everyday Scenarios

Provides mathematical problem sets.

Ethan Wilson
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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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