Art of Problem Solving

2014 AMC 8 Problems/Problem 2: Difference between revisions

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==Solution==
==Solution==
The fewest amount of coins that can be used is 2 (a quarter and a dime). The greatest amount is 7, if he uses all nickels. Therefore we have <math>7-2=5</math>, or <math>\fbox{E}</math>.
The fewest amount of coins that can be used is 2 (a quarter and a dime). The greatest amount is 7, if he uses all nickels. Therefore we have <math>7-2=\boxed{\textbf{(E)}~5}</math>.


==See Also==
==See Also==
{{AMC8 box|year=2014|num-b=1|num-a=3}}
{{AMC8 box|year=2014|num-b=1|num-a=3}}
{{MAA Notice}}
{{MAA Notice}}

Revision as of 09:07, 2 December 2015

Problem

Paul owes Paula $35$ cents and has a pocket full of $5$-cent coins, $10$-cent coins, and $25$-cent coins that he can use to pay her. What is the difference between the largest and the smallest number of coins he can use to pay her?

$\textbf{(A) }1\qquad\textbf{(B) }2\qquad\textbf{(C) }3\qquad\textbf{(D) }4\qquad \textbf{(E) }5$

Solution

The fewest amount of coins that can be used is 2 (a quarter and a dime). The greatest amount is 7, if he uses all nickels. Therefore we have $7-2=\boxed{\textbf{(E)}~5}$.

See Also

2014 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
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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