Antes que nada,
Si tenés una pregunta sobre el planteo, el problema, o lo que fuere: posteala como comentario que la contesto a la brevedad.
Si sabés la respuesta o alguna que creés puede serla: posteala como comentario.
Si tenés una pregunta sobre el planteo, el problema, o lo que fuere: posteala como comentario que la contesto a la brevedad.
Si sabés la respuesta o alguna que creés puede serla: posteala como comentario.
MONEDAS FALSAS
Se tiene diez (10) pilas de monedas. Cada una de ellas esta formada por diez (10) monedas apiladas una encima de la otra. Es decir que en total se tiene cien (100) monedas apiladas de a montoncitos de diez unidades cada una. Ahora bien, hay una de esas pilas que esta compuesta en su totalidad por monedas falsas (diez monedas falsas, apiladas una encima de la otra). Las monedas falsas son exactamente iguales a las verdaderas, indistinguibles en cuanto a tamaño, olor, color, forma, etc. Solo difieren en el peso. Una moneda de verdad pesa 'X' gramos, mientras que una falsa pesa 'Y' gramos.
Se cuenta con una balanza de una sola bandeja, como esas de las verdulerias, y se puede realizar solamente una (y solo una) "pesada". Es decir, que se puede ver el visor de la balanza solamente una vez (no se puede ir poniendo y sacando objetos de la balanza e ir viendo como varia el peso).
Se pregunta: ¿Cómo hago para determinar cuál de las diez (10) pilas de monedas, está compuesta enteramente por monedas falsas?
[Más tarde publico la respuesta, espero se animen y participen! El primero en contestar correctamente se gana un pancho y una coca]
62 comentarios:
Tengo 2 librines de Paenza, y hace un tiempo hice el problema...me tienta mucho decir cómo es, pero no da para cagar la respuesta tan fácil, eh?
Jejeje.
Saluditos
jajjajaa, moderación de comentarios...estuviste bien, entonces? puedo decirlo?
Es necesario usar la balanza??
Si tiro una moneda de cada fila al agua, la moneda que caiga mas rápido o mas lento que las otras 9 es la moneda que pesa distinto, y por lo tanto falsa, y ahi tengo la fila falsa.
Andi: Jaja, es una buena solución, aunque de pensamiento lateral...serviría si la diferencia de peso fuera lo suficientemente grande como para que la respuesta sea obvia a simple vista, dado que no contas con ningún instrumento más que tus ojos para ver cual cae primero. De todas formas, la solución que se pide en este problema, es completamente lógica, no de pensamiento lateral, y si, implica el uso de la balanza.
Pero te felicito por esta otra solución, no se me había ocurrido!
Luna: jaja obvio luna, me viste cara de pichi? :P
Claro que podés postear la respuesta! Si es la correcta, en lugar de la rta, voy a poner un comentario yo aclarando que respondiste bien :)
También leí el segundo libro de Paenza y... ¡a esta pude resolverla de una y con más de una solución posible! :)
Saludos
a la pelota... más de una? contame contame!
Bueno, entre el primer comentario y este me fui unas cuantas horitas. Ahora vuelvo y antes de responder, pregunto (innecesariamente quizás). Uno sabe cuánto es X y cuánto es Y, no? No tiene valor porque no importa demasiado en el enunciado el número o realmente el que tiene que pesar las monedas no lo sabe? Me explico?
(más vale que estés despierto y respondas yaaaa).
Saluditos.
luna! Antes que nada, la respuesta que diste es la correcta :) te felicito :), hay un pequeño detalle nomás pero tiene que ver con una distracción más que con que no lo hayas pensado bien...se entendió lo que quisiste decir y es esa la solución correcta (al menos la que yo saqué)
En cuanto a la pregunta, sí, uno sabe cuánto pesa una moneda falsa y cuánto una de verdad. Puse X e Y porque, como bien dijiste, es irrelevante el numero, tonces para que no se compliquen la vida con datos que no interesan, no les di ningún valor.
Gracias por coparte! ah y si querés mandame un mail con el problema ese que me dijiste en el otro mensaje (que no voy a postear porque tiene la solución) y nos enñoñecemos jaja, suerte!
Aunque me costó mucho (pero mucho de verdad) no prender fuego el primer libro de Paenza, junté valor y encaré el segundo.
Ya lo dije hace mucho che, las matemáticas no son de fiar...
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