friday's riddle: spare change...
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From: Santa Cruz
friday's riddle: spare change...
PLEASE DO NOT LOOK UP THE ANSWERS ON THE INTERNET AND POST THEM HERE. If you want to look up the answers that's fine. The answers are out there, they are not that hard to find. Some people like to try and solve the riddle before giving up and looking up the answers. This is for those people. Enjoy...
every night, i dump all the change in my pocket into a big bucket.
when I buy things, i never hand over coins. always bills. so i accumulate a lot of coins. even if the purchase price is $1.01, and i have lots of coins in my pocket, i pay $2 and take the 99c in change. all the more coins to dump in my change bucket!
after about 10 years of this, i decide to roll all the coins into rolls. remember that a quarter roll is $10, a dime roll is $5, nickels $2, pennies 50 cents. so I go to the Bank and buy empty paper rolls.
the Bank, conveniently, sells assortment packs of coin rolls. each assortment pack contains W quarter rolls, X dime rolls, Y nickel rolls, and Z penny rolls.
the question: what is the optimum ratio of W to X to Y to Z to maximize the probability that I will use up the assortment packs at the same rate, e.g. without lots of leftover nickel tubes and stuff.
Assumption 1: The price of purchases made, modulo $1, is an even distribution from 0 cents to 99 cents.
Assumption 2: The cashier will always give you the least number of coins mathematically possible, and will always have enough of each type of coin to do this. So you'll never get 99 pennies as change for a $1.01 purchase, for example.
Assumption 3: Half dollars don't exist.
Do you guys like the riddle of the day? Should I keep posting riddles?
every night, i dump all the change in my pocket into a big bucket.
when I buy things, i never hand over coins. always bills. so i accumulate a lot of coins. even if the purchase price is $1.01, and i have lots of coins in my pocket, i pay $2 and take the 99c in change. all the more coins to dump in my change bucket!
after about 10 years of this, i decide to roll all the coins into rolls. remember that a quarter roll is $10, a dime roll is $5, nickels $2, pennies 50 cents. so I go to the Bank and buy empty paper rolls.
the Bank, conveniently, sells assortment packs of coin rolls. each assortment pack contains W quarter rolls, X dime rolls, Y nickel rolls, and Z penny rolls.
the question: what is the optimum ratio of W to X to Y to Z to maximize the probability that I will use up the assortment packs at the same rate, e.g. without lots of leftover nickel tubes and stuff.
Assumption 1: The price of purchases made, modulo $1, is an even distribution from 0 cents to 99 cents.
Assumption 2: The cashier will always give you the least number of coins mathematically possible, and will always have enough of each type of coin to do this. So you'll never get 99 pennies as change for a $1.01 purchase, for example.
Assumption 3: Half dollars don't exist.
Do you guys like the riddle of the day? Should I keep posting riddles?
Thread Starter
Registered User
Joined: Feb 2001
Posts: 756
Likes: 0
From: Santa Cruz
Originally posted by magician
Absitively!
Absitively!
Suggestions for Absitively:
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2. obsessively
3. obstetrically
4. epiblastic
5. epistemically
6. epistolary
7. obstetrical
8. obesities
9. abacterial
10. epistolaries
:Y:Z = 75:32:20:80 ?