lex, Lara and Rachel want to buy a new coffee maker. The coffee maker c All 3 of them have saved $200 in $10 bills (each). They decide that each of them ontributing $50 in $10 bills. (In other words, everyone will end up contributing a he purchase.) After this initial deposit, each of them will contribute some amoun rder to reach the required $300 to buy the coffee maker. For each me {Alex, Lar rill denote by am the number of $10 bills that person m is left with after they b

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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5. Alex, Lara and Rachel want to buy a new coffee maker. The coffee maker costs $300.
All 3 of them have saved $200 in $10 bills (each). They decide that each of them will begin by
contributing $50 in $10 bills. (In other words, everyone will end up contributing at least $50 to
the purchase.) After this initial deposit, each of them will contribute some amount of money in
order to reach the required $300 to buy the coffee maker. For each me {Alex, Lara, Rachel} we
will denote by am the number of $10 bills that person m is left with after they buy the sound
system. Count the number of possible triples (aAlex, aLara, GRachel).
Transcribed Image Text:5. Alex, Lara and Rachel want to buy a new coffee maker. The coffee maker costs $300. All 3 of them have saved $200 in $10 bills (each). They decide that each of them will begin by contributing $50 in $10 bills. (In other words, everyone will end up contributing at least $50 to the purchase.) After this initial deposit, each of them will contribute some amount of money in order to reach the required $300 to buy the coffee maker. For each me {Alex, Lara, Rachel} we will denote by am the number of $10 bills that person m is left with after they buy the sound system. Count the number of possible triples (aAlex, aLara, GRachel).
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