Art of Problem Solving

1959 AHSME Problems/Problem 46: Difference between revisions

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== Solution ==
== Solution ==
<math>\boxed{\textbf{(B)}}</math>
 
From the given information, we know that there were <math>7+5+6=18</math> halves of the day (either afternoons or mornings), so there were <math>\frac{18}{2}=9</math> days in total, which is answer choice <math>\boxed{\textbf{(B)}}</math>.


== See also ==
== See also ==
{{AHSME 50p box|year=1959|num-b=45|num-a=47}}
{{AHSME 50p box|year=1959|num-b=45|num-a=47}}
{{MAA Notice}}
{{MAA Notice}}
[[Category:Logic Problems]]

Latest revision as of 11:49, 22 July 2024

Problem

A student on vacation for $d$ days observed that (1) it rained $7$ times, morning or afternoon (2) when it rained in the afternoon, it was clear in the morning (3) there were five clear afternoons (4) there were six clear mornings. Then $d$ equals: $\textbf{(A)}\ 7\qquad\textbf{(B)}\ 9\qquad\textbf{(C)}\ 10\qquad\textbf{(D)}\ 11\qquad\textbf{(E)}\ 12$

Solution

From the given information, we know that there were $7+5+6=18$ halves of the day (either afternoons or mornings), so there were $\frac{18}{2}=9$ days in total, which is answer choice $\boxed{\textbf{(B)}}$.

See also

1959 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 45
Followed by
Problem 47
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All AHSME Problems and Solutions

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