Difference between revisions of "2010 AMC 8 Problems/Problem 7"

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==Solution==
 
==Solution==
If he has <math>3</math> quarters, his other coins are able to pay amount amount less than or equal to <math>25</math> cents, because it can just be added on to the value of his quarters. If he has <math>2</math> dimes and <math>1</math> nickel, he can pay any amount that is a multiple of <math>5</math>. Lastly, Freddie need <math>4</math> pennies for a total of  <math>3+2+1+4=\boxed{\textbf{(B)}\ 10}</math> coins.
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To have less then a dollar, the most it could be is 99 cents. You could use 3 of the quarters, then 2 dimes, and 4 pennies to make 99 cents with least coins.
  
 
==See Also==
 
==See Also==
 
{{AMC8 box|year=2010|num-b=6|num-a=8}}
 
{{AMC8 box|year=2010|num-b=6|num-a=8}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 20:19, 20 September 2015

Problem

Using only pennies, nickels, dimes, and quarters, what is the smallest number of coins Freddie would need so he could pay any amount of money less than a dollar?

$\textbf{(A)}\ 6 \qquad\textbf{(B)}\ 10\qquad\textbf{(C)}\ 15\qquad\textbf{(D)}\ 25\qquad\textbf{(E)}\ 99$

Solution

To have less then a dollar, the most it could be is 99 cents. You could use 3 of the quarters, then 2 dimes, and 4 pennies to make 99 cents with least coins.

See Also

2010 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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