Solve the following problems using the 4 Steps of George Polya.1. X, Y, Z collect stamps. They exchange stamps among themselves according to the followingscheme: X gives Y as many stamps as Y has and Z as many stamps as Z has. After that, Y givesX and Z as many. stamps as each then has, and then Z gives X and Y as many stamps as eachhas. If each finally has 64 stamps, with how many stamps does X start? Solve the following problems using the 4 Steps of George Polya.1. X, Y, Z collect stamps. They exchange stamps among themselves according to the followingscheme: X gives Y as many stamps as Y has and Z as many stamps as Z has. After that, Y givesX and Z as many. stamps as each then has, and then Z gives X and Y as many stamps as eachhas. If each finally has 64 stamps, with how many stamps does X start?

Introduction: Polya's four step method is a tool to solve a real life problem. By understanding the…

Answered: Solve the following problems using the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Solve the given problem completely. Show your solution. In a dance crew with 32 members, 9 are are part of unit A, 10 are in unit B, and 6 performs solo. 3 members of unit A are also in unit B. Two solo performers are also in unit A:. 2 members of unit B are also solo performers. Only 1 member of the crew is part of all units. How many crew members are in unit A but not in B?
5.) A recipe Ms. Glover likes is for chocolate chip pancakes! The regular recipe calls for of a cup of chocolate chips, of a cup of butter, and 3 eggs. If she changes the recipe to make pancakes for her whole family, using 5 cups of chocolate chips, how many cups of butter and how many eggs would she need so that they still taste the same?
3.) Mr. Richards and Mr. Dolge each began improving their yards over the summer by buying bags of soil (fancy dirt) and bags of mulch (bark dust). Since Mr. Dolge has access to a truck, Mr. Richards got a ride and as a result they got their supplies from the same store. Mr. Dolge spent $97 on 3 bags of soil and 14 bags of mulch. Mr. Richards got 14 bags of soil and 7 bags of mulch for $161. They forgot to get a receipt, but just in case they need more supplies, they are wondering how much each bag of soil will cost, and how much each bag of mulch will cost. What should they find these prices to be?
a.) Make a list of the amounts of money one can have that cannot be reduced to a smaller number of coins. (Hint: there are seven possible amounts.) One of the amounts is (d+e). b.) Make an addition table for Glosian money. It should be a seven by seven table, with a row and column for each of the amounts you found in the previous problem. For example, your table shouldshow that (d+e)+d=f c.) One of the seven amounts you found in the previous problem can be considered to be the zero of Glosian money, since adding it to a collection of coins does not change the collection’s value (after trading to get the smallest possible number of coins, of course.) Which amount is the zero forGlosian money? d.) The opposite of an amount is the amount you add to it to get the zero. Find the opposite of each of the seven amounts.
23) Max and Jill both uses quarters to fill a parking meter. Max's parking meter is for 2 hours and Jill's parking meter is for 1 hour and 30 minutes. Max goes into a store and when he comes back, he sees that his parking meter has 4 of the time left. Jill goes for a run and when she comes back she sees that her parking meter has 4 of the time left. Who has more time left? By how many minutes?
Sally makes a deal with ehr mother. If sally does all her chores today, she will get half a cookie. If she does her chores on the second day as well, she will get one cookie. If she does her chores on the third day, she will get two cookies. Each day in a row that she does her chores ,Sally will get double the amount of cookies as the previous day. Let C(n) give the number of cookies on day n. a.) What is the growth factor? b.) what is the initial value c.) write a formula for C(n). d.) How many cookies does Sally get on day 30?
At a skating rink, children pay $1.25 admission and adults pay $2.50. For one night, the receipts were $150 and 100 people paid admissions. How many of these were children? How many of these were adults?
Luke and Slim have only one horse. Luke rides for an agreed-on distance and then ties up the horse for Slim, who has been walking. Meanwhile, Luke walks on ahead. They alternate the walking and the riding. If they walk 4 miles per hour and ride 12 miles per hour, what part of the time is the horse resting?
Alan, Ben and Carl collect NBA cards. They exchange cards among themselves. According to the following scheme: Alan gives Ben as many cards as Ben has and Carl as many cards as Carl has. After that, Ben gives Alan and Carl as many cards as each of them has, and then Carl gives Alan and Ben as many cards as each has. If each finally has 64 cards, with how many cards does each have at the beginning?(work backwards)
Solve the following problems following Polya’s Four Step Method and employing the different strategies discussed. Write the problem and present the solution neatly and organized. a. Frosia delivers prescriptions for the local pharmacy. On Tuesday, she delivered 59 of the prescriptions already in the delivery van and then 34 of the remaining prescriptions. After picking up 10 more prescriptions at the store, she delivered 23 of those she had with her. She then picked up an additional 12 prescriptions and delivered 78 of those she had in the van. Finally, she up 3 more and then delivered the remaining 5 prescriptions. How many prescriptions did she deliver? b. Joyce invited 17 friends to a dinner party at her house last Friday evening. She gave each guest a card with a number from 2 through 18, reserving number 1 for herself. When she had everyone paired off at the dinner table, she noticed that the sum of each couple’s numbers was perfect square. What number did Joyce’s partner have?
suppose Tina is throwing a surprise party to celebrate her friend Trevor's birthday, and she asks her good friend Tom to help with the music. The two agree to create a joint song playlist for Trevor to listen to during the car ride to the party. Tina chooses to add 15 songs to the playlist, and Tom chooses to add 11 songs. Suppose the playlist they created is significantly too long, and the car ride will only last long enough for the three to hear seven of the songs on the playlist. Also, suppose that each time a song is selected to be played, it is randomly selected from the remaining songs without replacement. After careful consideration, Tina is a little worried about Tom's song choices and hopes that Trevor will not hear too many of his songs. Let ? be the random variable representing the number of Tom's songs that are played during the car ride. Calculate the probability that Trevor will hear zero, one, or two of Tom's song choices. Round your answers to the nearest three decimal…
Solve the given problem completely. Show your solution. In a dance crew with 32 members, 9 are are part of unit A, 10 are in unit B, and 6 performs solo. 3 members of unit A are also in unit B. Two solo performers are also in unit A:. 2 members of unit B are also solo performers. Only 1 member of the crew is part of all units. How many crew members do not belong in unit A nor B, nor soloists?

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