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Cynthia took 1,874 coins to Coinstar. She dumped them into the counting machine and got a receipt for $38.99; however Coinstar had deducted 5% fee for the service. The question is: How many pennies were REQUIRED to have been in the stack of coins she dumped in the counter?

2006-10-06 09:09:47 · 6 answers · asked by Anonymous in Games & Recreation Other - Games & Recreation

6 answers

38.99/0.95 = $41.04.

We know at least 4 were pennys, so, if the remaining 1870 coins were nickles (lowest denomination possible) you would have too much total. ($93.54) [Which the rest of your answerers seem to have overlooked.]

To find the minimum number of pennys, first try:

x*0.5 + y*0.01 = 38.99/.95
x + y = 1874

y = 1316.45
x = 557.55

For every one more nickel, dime, quarter, half dollar, or dollar coin used in place of nickles or pennies, the number of total pennies will apparently go down, but the total number coins would also decrease below the 1874 total. This is why the minimum number of pennies is 1317.

2006-10-06 09:34:55 · answer #1 · answered by jimvalentinojr 6 · 0 0

4

2006-10-06 16:19:41 · answer #2 · answered by Anjel 3 · 0 0

1324

$41.04 x 95% = $38.99

To make $41.04 using 1874 coins the minimum number of pennies is 1324. You would also need 544 nickles and 6 dimes.

2006-10-06 16:43:52 · answer #3 · answered by Anonymous · 0 0

4 pennies

2006-10-06 16:12:49 · answer #4 · answered by The Answer Man 3 · 0 0

If they round up on final total then 3; if they round down then 4.

2006-10-06 16:17:15 · answer #5 · answered by Anonymous · 0 0

The answer is four. In order to have the number end in a nine, you have to have at least four pennies. There can be more, but four is the minimum.

2006-10-06 16:12:57 · answer #6 · answered by Suthern R 5 · 0 0

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