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Most Searched Math Problems With Solutions

<br>We've been solving problems with compound interest, ratio and proportion or percentage from a long time and we still face issues when solving them. Here are the 5 most searched and cool math problems with their solutions. Visit: https://www.myassignmentservices.com/usa/homework-help-usa.html for more information!

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Most Searched Math Problems With Solutions

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  1. MY ASSIGNMENT SERVICES COOL MATH PROBLEMS Presented by MITCHELLLEE

  2. Problem#1:Aninvestorwith$10000investspartofthemoneyat 8%andtherestat12%.Howmuchshouldbeinvestedateachrate to yield 11% of the totalamount? Solution:Letxbethepartthatisinvestedat8%.Theotherpartinvestedat 12% is 10000 -x. x × 8% + (10000 - x) × 12% = 10000 ×11% x × 8/100 +(10000 - x) × 12/100 =10000 ×11/100 8x/100 +120000 - 12x/100=110000/100 Multiply both sides by100 100 × 8x/100 +100 × 120000 - 12x/100 =100 ×110000/100 We get 8x + 120000 - 12x =110000 12x - 8x = 120000 -110000 4x =10000 x = 2500 since 4 × 2500 =10000

  3. Problem#2:Supposein1960,theconsumerpriceindexwas70 whilein2015itis280.Whatmonthlysalaryin2015wouldhave thesamepurchasingpowerasamonthlysalaryof800dollarsin 1960? Solution: Let x be the monthly salary in2015. x/800 =280/70 x × 70 = 280 ×800 70x =224000 70/70 x=224000/70 x =3200

  4. Problem#3:Abookstoremade11000dollarsselling3000math booksand1000physicsbooks.Acustomerbought1mathbookand 1physicsbookandpaid7dollars.Whatisthepriceofeachbook? Solution:Letxbethepriceofthemathbookandybethepriceofthephysicsbook x + y =7 3000 × x + 1000 × y =11000 Use x + y = 7 to solvefor y x - x + y = 7 -x y = 7 -x Substitute7-xforyin3000×x+1000×y=11000 3000 × x + 1000 × (7 - x) =11000 2000x =4000 x = 2 since 2000 × 2 =4000 Since 2 + 5 = 7, y =5 Thepriceofamathbookis2dollarsandthepriceofaphysicsbookis5dollars.

  5. Problem#4:Thepressuresomeoneexperiencesasheor shedives deeper and deeper in the ocean increases linearly. On the surface, thepressureiscloseto15poundspersquareinch.33feetbelowthe surface,thepressureis30pounds.If25000poundspersqinchcan crushyourbones,whatdepthisextremelydangerousforhumans? Solution:First,modelthepressure(p)intermsofdepth(d)withalinear equation. We will find the equation p = md +b Use (0, 15) and (33, 30) to findm m = 30 - 15/33 -0 m = 15/33 =0.45 p = 0.45d + b Use (0, 15) to findb 15 = 0.45 × 0 +b p = 0.45d +15 25000 - 15 = 0.45d + 15 - 15 d = 24985/0.45 = 55522feet

  6. Problem#5:ThepopulationinthestateofFloridarightnowis19.9 million.ThelatestformatforpassengerplatesinthestateofFlorida is AAA A00 through ZZZ Z99. If the letter o cannot be used when makingplates,willthestatehaveenough licenseplatenumbersfor its residents? Solution: The format shows that the first 4 characters are letters and the last 2 characters are numbers. There are 26 characters in the Enlgish alphabet. Since the letterocannotbeused,thechoiceisnow25.Thereare10charactersforthenumbers0- 9. Notice also that numbers or letters can berepeated! For the first letter, there are 25choices For the second letter, there are 25choices For the third letter, there are 25 choices For the fourth letter, there are 25 choices For the first number, there are 10choices For the second number, there are 10choices Numbers of license plates = 25 × 25 × 25 × 25 × 10 × 10 =39,062,500 Therefore, there will be more than enough licenseplates.

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