Difference between revisions of "2023 AMC 8 Problems/Problem 14"
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~Star League (https://starleague.us) | ~Star League (https://starleague.us) | ||
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| + | ==Written Solution== | ||
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| + | Most stamps make <math>7.10. You have 20 of each coin, nickles, dimes and quarters. | ||
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| + | If we want to have the most amount of stamps we have to have the most amount of smaller value coins. We can use </math>20<math> nickels and </math>20<math> dimes to bring our total cost to </math>7.10 - 3.00 = 4.10<math>. However when we try to use quarters the 25 cents don’t fit evenly, so we have to give back 15 cents in order to make the quarter amount </math>4.25<math> the most efficient way to do this is give back a dime and a nickel to have 38 coins used so far. Now we just use </math>\frac{425}{25} = 17<math> quarters to get a grand total of </math>38 + 17 = \boxed{\text{(E)}55}$ | ||
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| + | ~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat | ||
Revision as of 20:05, 24 January 2023
Animated Video Solution
~Star League (https://starleague.us)
Written Solution
Most stamps make $7.10. You have 20 of each coin, nickles, dimes and quarters.
If we want to have the most amount of stamps we have to have the most amount of smaller value coins. We can use$ (Error compiling LaTeX. Unknown error_msg)20
20
7.10 - 3.00 = 4.10
4.25
\frac{425}{25} = 17
38 + 17 = \boxed{\text{(E)}55}$
~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat
