Please solve. On the treeless planet of Glosia, the currency consists of florins, ecus, and ducats. One florin is worthtwo ecus, and one ecu is worth two ducats. Since there is no paper, there is no paper money, and thepeople of Glosia have to carry coins everywhere. King Evariste VII, being immensely rich, must wearbloomers with enormous reinforced pockets to hold his money.One day, the King realizes that there is a new trend in Glosian fashion: elegant men and women wearonly small pockets. Evariste VII, not one to be left behind by the great movements of style, decides toinstitute a drastic economic reform, by enacting a strange law: One ducat is worth two florins! (Theold rules are not changed.) When you realize trades can be made in either direction, you can see howthe King's brilliant legislation will abolish poverty forever!The people of Glosia are ecstatic. With the new system, one may have a fortune in one's pockets, andyet never carry more than three coins! One can be rich and fashionable at the same time. For example,if you own eight ecus, you can go to the bank, and trade them in for four florins. These can be tradedagain, for two ducats, which equal one ecu, which will certainly fit in your pocket. 1. Exploration.a. The King trades his coins at the bank, according to their official value, with the object ofhaving as few coins as possible in the tiny pocket of his slinky new pants. He starts with 1000florins. What does he end up with?b. Prince Enbel has one ducat. He buys a toastereo (a popular appliance which, unfortunately,does not make coffee), costing 50 ecus. If he is given the fewest coins possible, how muchchange does he get?c. Princess Lisa has one ecu. She wins the first prize in a contest in Names Magazine. The prize isone ducat, one ecu, and one florin. She now has four coins, but they won't fit into her pocket.What does she have after trading them in to get as few coins as possible? (The second prizewould have been a T-shirt with the Names logo and no pockets at all.)d. Sol Grundy has no money. He gets a job at the toastereo store, earning one florin per day, sevendays a week. Since his pockets are fashionably small, he trades his money as often as possiblein order to have as few coins as possible. If he starts his new job on Monday, how much doeshe have each day of the week? And the next week? (Assume he doesn’t spend any money.)

Name: Please solve. On the treeless planet of Glosia, the currency consists
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Description: Please solve. On the treeless planet of Glosia, the currency consists of florins, ecus, and ducats. One florin is worthtwo ecus, and one ecu is worth two ducats. Since there is no paper, there is no paper money, and thepeople of Glosia have to carry

Let d be the number of ducats, e be the number of ecus and f be the number of florins According to…

Answered: 1. Exploration. a. The King trades his…

Linear Algebra: A Modern Introduction

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Chapter2: Systems Of Linear Equations

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Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....

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On the treeless planet of Glosia, the currency consists of florins, ecus, and ducats. One florin is worth
two ecus, and one ecu is worth two ducats. Since there is no paper, there is no paper money, and the
people of Glosia have to carry coins everywhere. King Evariste VII, being immensely rich, must wear
bloomers with enormous reinforced pockets to hold his money.
One day, the King realizes that there is a new trend in Glosian fashion: elegant men and women wear
only small pockets. Evariste VII, not one to be left behind by the great movements of style, decides to
institute a drastic economic reform, by enacting a strange law: One ducat is worth two florins! (The
old rules are not changed.) When you realize trades can be made in either direction, you can see how
the King's brilliant legislation will abolish poverty forever!
The people of Glosia are ecstatic. With the new system, one may have a fortune in one's pockets, and
yet never carry more than three coins! One can be rich and fashionable at the same time. For example,
if you own eight ecus, you can go to the bank, and trade them in for four florins. These can be traded
again, for two ducats, which equal one ecu, which will certainly fit in your pocket.

Transcribed Image Text:1. Exploration. a. The King trades his coins at the bank, according to their official value, with the object of having as few coins as possible in the tiny pocket of his slinky new pants. He starts with 1000 florins. What does he end up with? b. Prince Enbel has one ducat. He buys a toastereo (a popular appliance which, unfortunately, does not make coffee), costing 50 ecus. If he is given the fewest coins possible, how much change does he get? c. Princess Lisa has one ecu. She wins the first prize in a contest in Names Magazine. The prize is one ducat, one ecu, and one florin. She now has four coins, but they won't fit into her pocket. What does she have after trading them in to get as few coins as possible? (The second prize would have been a T-shirt with the Names logo and no pockets at all.) d. Sol Grundy has no money. He gets a job at the toastereo store, earning one florin per day, seven days a week. Since his pockets are fashionably small, he trades his money as often as possible in order to have as few coins as possible. If he starts his new job on Monday, how much does he have each day of the week? And the next week? (Assume he doesn’t spend any money.)

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