Peggy and Alice each ordered and drank one large soda. Then they decided that they were still thirsty, so Peggy went up to get another soda. Alice didn’t have any more money, so she asked if she could share some of Peggy’s soda. Peggy then poured half of her soda into Alice’s glass. Alice protested, saying it was too much, and she poured one-third of the soda in her glass back into Peggy’s glass. Peggy insisted that Alice have some more, so she poured one-fourth of the soda in her glass back into Alice’s glass. Of course, Alice would not settle for that, so she poured one-fifth of the soda in her glass back into Peggy’s glass. This went on for quite a while, with every pouring increasing the denominator of the fraction by 1. After 99 pourings they finally decided to stop. At this point, how full was each glass of soda? (Note: the “first pouring” was when Peggy poured half her soda into Alice’s glass. Be careful with your math; you should be able to figure out the answer before the 10th pouring.) 2. Peggy and Alice each ordered and drank one large soda. Then they decided that they were stillthirsty, so Peggy went up to get another soda. Alice didn't have any more money, so she asked if shecould share some of Peggy's soda. Peggy then poured half of her soda into Alice's glass. Aliceprotested, saying it was too much, and she poured one-third of the soda in her glass back into Peggy'sglass. Peggy insisted that Alice have some more, so she poured one-fourth of the soda in her glassback into Alice's glass. Of course, Alice would not settle for that, so she poured one-fifth of the soda inher glass back into Peggy's glass. This went on for quite a while, with every pouring increasing thedenominator of the fraction by 1. After 99 pourings they finally decided to stop. At this point, how fullwas each glass of soda? (Note: the "first pouring" was when Peggy poured half her soda into Alice'sglass. Be careful with your math; you should be able to figure out the answer before the 10th pouring.)

Answered: Image /qna-images/answer/7740487c-6ee5-414c-889e-9bb9438e9bff.jpg

Answered: Peggy and Alice each ordered and drank…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Peggy and Alice each ordered and drank one large soda. Then they decided that they were still thirsty, so Peggy went up to get another soda. Alice didn’t have any more money, so she asked if she could share some of Peggy’s soda. Peggy then poured half of her soda into Alice’s glass. Alice protested, saying it was too much, and she poured one-third of the soda in her glass back into Peggy’s glass. Peggy insisted that Alice have some more, so she poured one-fourth of the soda in her glass back into Alice’s glass. Of course, Alice would not settle for that, so she poured one-fifth of the soda in her glass back into Peggy’s glass. This went on for quite a while, with every pouring increasing the denominator of the fraction by 1. After 99 pourings they finally decided to stop. At this point, how full was each glass of soda? (Note: the “first pouring” was when Peggy poured half her soda into Alice’s glass. Be careful with your math; you should be able to figure out the answer before the 10th pouring.)