Difference between revisions of "1999 AHSME Problems/Problem 14"

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==Problem==
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Four girls — Mary, Alina, Tina, and Hanna — sang songs in a concert as trios, with one girl sitting out each time. Hanna sang <math> 7</math> songs, which was more than any other girl, and Mary sang <math> 4</math> songs, which was fewer than any other girl. How many songs did these trios sing?
 
Four girls — Mary, Alina, Tina, and Hanna — sang songs in a concert as trios, with one girl sitting out each time. Hanna sang <math> 7</math> songs, which was more than any other girl, and Mary sang <math> 4</math> songs, which was fewer than any other girl. How many songs did these trios sing?
  
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\textbf{(D)}\ 10 \qquad  
 
\textbf{(D)}\ 10 \qquad  
 
\textbf{(E)}\ 11</math>
 
\textbf{(E)}\ 11</math>
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==See Also==
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{{AHSME box|year=1999|num-b=13|num-a=15}}

Revision as of 19:36, 2 June 2011

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Problem

Four girls — Mary, Alina, Tina, and Hanna — sang songs in a concert as trios, with one girl sitting out each time. Hanna sang $7$ songs, which was more than any other girl, and Mary sang $4$ songs, which was fewer than any other girl. How many songs did these trios sing?

$\textbf{(A)}\ 7 \qquad  \textbf{(B)}\ 8 \qquad  \textbf{(C)}\ 9 \qquad  \textbf{(D)}\ 10 \qquad  \textbf{(E)}\ 11$

See Also

1999 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 13
Followed by
Problem 15
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All AHSME Problems and Solutions