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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1.1 Albert, Brandon, Chuck, Darwin, and Earl all entered the primary to seek election to the city council. Albert received 2000 more votes than Brandon and 4000 less than Chuck. Earl received 2000 votes less than Darwin and 5000 votes more than Brandon. In what order did each person finish in the balloting? 1.2 Aside from setting up equations, what problem solving strategy can be applied in the problem? 2.1 Beth, Jane and Mitzi play on the basketball team. Their positions are forward, center, and guard. Beth and the guard bought a milk shake for Mitzi. Beth is not the forward. Who plays each position? 2.2 What problem solving strategy can be applied in the problem?
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.
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?
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?
You are planning to serve pizza to a group of guests. You have found that you can buy a 48 inch pizza for $129, and you can buy a 16 inch pizza for $25, a 12 inch pizza for $13, and a 6 inch pizza for $5. Address the following questions: If you purchased enough of the 6, 12, or 16 inches to equal one 48 inch pizza, how many inches of crust would their be on for the total number of each, the 6, the 12, the 16, and the 48?
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?
H. Answer the following problems. 1) Marivic is five years older than Michelle. In three years, the product of her age and Michelle's age five years ago will be 90 years. Find their present ages. 2) Alyson is three years younger than her friend Joshua. In seven years, the product of their ages will be 5 more than thrice the product of their ages five years ago. How old are each at present? 3) Two pipes can fill together a small reservoir in two hours. Working alone, the first pipe can fill the reservoir in 105 minutes less time than the second pipe can. How long would each pipe need to fill the reservoir? 5) 4) Two cars started at the same place and same time towards the 90-km route. Car A traveled 1 km per hour faster than Car B and reached 1 hour before Car B. Find the rate of each car. Ivy travels 12 miles through boat until she decided to turn around and heads back to her starting point. Along the way, she passes a digital sign that indicates the river is 2 miles per hour. If…
Suppose that a computer supplier has two warehouse, one located in city A and another in city B. The supplier receives orders from two customers, one in city C and another in city D. The customer in city C orders 70 units, and the customer in city D orders 50 units. The number of units at the warehouse in city A is 80 and the number of units at the warehouse in city B is 90. The cost of shipping each unit from A to C is 1, from A to D is 2, from B to C is 3, from B to D is 2. Formulate the problem of deciding how many units from each warehouse should be shipped to each customer to minimize the total shipping cost.

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