Difference between revisions of "2021 JMPSC Problems/Problem 2"
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== Problem == | == Problem == | ||
| − | Brady has an unlimited supply of quarters (<math>0.25), dimes (</math>0.10), nickels (<math>0.05), and pennies (</math>0.01). What is the least number (quantity, not type) of coins Brady can use to pay off <math></math>2.78<math>? | + | Brady has an unlimited supply of quarters (<math>0.25), dimes (</math>0.10), nickels (<math>0.05), and pennies (</math>0.01). What is the least number (quantity, not type) of coins Brady can use to pay off <math>\text{</math>}2.78<math>? |
== Solution == | == Solution == | ||
| − | To minimize the number of coins, we need to maximize the amount of high-valued coins we use. 11 quarters are worth </math><math>2.75</math>, which is the most quarters we can use to get a value less than or equal to <math></math>2.78<math>. Finally, we can add 3 pennies to get a total of </math><math>2.87</math>, so the answer is <math>11+3=14</math>. | + | To minimize the number of coins, we need to maximize the amount of high-valued coins we use. 11 quarters are worth </math>\text{<math>}2.75</math>, which is the most quarters we can use to get a value less than or equal to <math>\text{</math>}2.78<math>. Finally, we can add 3 pennies to get a total of </math>\text{<math>}2.87</math>, so the answer is <math>11+3=14</math>. |
Revision as of 19:23, 10 July 2021
Problem
Brady has an unlimited supply of quarters (
0.10), nickels (
0.01). What is the least number (quantity, not type) of coins Brady can use to pay off $\text{$ (Error compiling LaTeX. Unknown error_msg)}2.78$?
== Solution ==
To minimize the number of coins, we need to maximize the amount of high-valued coins we use. 11 quarters are worth$ (Error compiling LaTeX. Unknown error_msg)\text{$}2.75$ (Error compiling LaTeX. Unknown error_msg), which is the most quarters we can use to get a value less than or equal to $\text{$ (Error compiling LaTeX. Unknown error_msg)}2.78
\text{$}2.87$ (Error compiling LaTeX. Unknown error_msg), so the answer is 
.
