Difference between revisions of "1990 AJHSME Problems/Problem 10"
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| + | On this monthly calendar, the date behind one of the letters is added to the date behind <math>\text{C}</math>. If this sum equals the sum of the dates behind <math>\text{A}</math> and <math>\text{B}</math>, then the letter is | ||
| + | <asy> | ||
| + | unitsize(12); | ||
| + | draw((1,1)--(23,1)); | ||
| + | draw((0,5)--(23,5)); | ||
| + | draw((0,9)--(23,9)); | ||
| + | draw((0,13)--(23,13)); | ||
| + | for(int a=0; a<6; ++a) | ||
| + | { | ||
| + | draw((4a+2,0)--(4a+2,14)); | ||
| + | } | ||
| + | label("Tues.",(4,14),N); label("Wed.",(8,14),N); label("Thurs.",(12,14),N); | ||
| + | label("Fri.",(16,14),N); label("Sat.",(20,14),N); | ||
| + | label("C",(12,10.3),N); label("$\textbf{A}$",(16,10.3),N); label("Q",(12,6.3),N); | ||
| + | label("S",(4,2.3),N); label("$\textbf{B}$",(8,2.3),N); label("P",(12,2.3),N); | ||
| + | label("T",(16,2.3),N); label("R",(20,2.3),N); | ||
| + | </asy> | ||
| + | |||
| + | <math>\text{(A)}\ \text{P} \qquad \text{(B)}\ \text{Q} \qquad \text{(C)}\ \text{R} \qquad \text{(D)}\ \text{S} \qquad \text{(E)}\ \text{T}</math> | ||
Revision as of 10:44, 8 September 2019
On this monthly calendar, the date behind one of the letters is added to the date behind 
. If this sum equals the sum of the dates behind 
and 
, then the letter is
![[asy] unitsize(12); draw((1,1)--(23,1)); draw((0,5)--(23,5)); draw((0,9)--(23,9)); draw((0,13)--(23,13)); for(int a=0; a<6; ++a) { draw((4a+2,0)--(4a+2,14)); } label("Tues.",(4,14),N); label("Wed.",(8,14),N); label("Thurs.",(12,14),N); label("Fri.",(16,14),N); label("Sat.",(20,14),N); label("C",(12,10.3),N); label("$\textbf{A}$",(16,10.3),N); label("Q",(12,6.3),N); label("S",(4,2.3),N); label("$\textbf{B}$",(8,2.3),N); label("P",(12,2.3),N); label("T",(16,2.3),N); label("R",(20,2.3),N); [/asy]](http://latex.artofproblemsolving.com/5/4/f/54ffff421c76ca2c5e63c918ddd6069e68ded4f7.png)
