The pool I have occupies 30 square meters of the plot where my house is. The house occupies as many square meters as the pool plus half of the garden and the garden occupies as many square meters as the pool and the house together. How many square meters has the plot, the house and the garden? Extracted from the problemate page.
We bought 10 kg of peaches from Periana to make jam. Bone and peel loses 1/5 of its weight. What is left is cooked with an equal amount of sugar. During cooking the mixture loses 1/4 of its weight. How many kg of jam are obtained? If I wanted to get 3 kg of jam, how many kg of peach would I need?
In a modern restaurant located in the center of the city they claim to be the most minimalist establishment in the world. From decoration to the size of your dishes everything is small and simple. Even for short, in the letter, they have named the 9 different dishes they prepare with the letters A, B, C, D, E, F, G, H and I.
Three gods: Apollo, Bacchus, and Calliope are called True, False, and Random although we don't know who is who. The True God always tells the truth, the False God always lies and the response of the Random God may be true or false. We must determine the identities of Apollo, Bacchus and Calliope, that is, find out which is the True God, which is the False and which is the Random, asking three questions whose only possible answers are Yes or No.
My wife Carla and I have gone with our children Darío and Elena to my friends Antonio and Beatriz's house to celebrate their son Francisco's birthday. We really like to play a somewhat unique card game in which when you lose a round, you have to double the money that the rest of the players have in their pocket.
Legend has it that one day the overflow of a river occurred; the people, fearful, tried to make an offering to the god of the river Lo to calm their anger. However, each time they did it, a turtle appeared around the offering without accepting it, until a boy realized the peculiar marks of the turtle's shell, so that they could include in their offering the requested amount: 15, God being satisfied and returning the waters to their channel.
Many remember the commotion that General Winfield Scott caused when he told Secretary of War Stanton. “Although we have many commanders capable of advancing a division of soldiers through a park, not one of them knows enough about military tactics to be able to get them out of there!
We present a numerical series that they say is only suitable for geniuses. The solution is not very complicated, but it forces us to think differently from what we are used to. Look at this series of operations. Apparently, they all have an incorrect result, but they follow a pattern that you must guess to find the missing numbers in the last operation.
There were the numbers 1, 2, 3, 4, 5, 6, 7 and 8 in a row but untidy, when one of them said: I am worth half of what the digits I have ahead and a third of what add up The ones behind me. Who said it? Solution The number 6 had to say it. In front were: 1 + 2 + 4 + 5 that add up to 12, and behind: 3 + 7 + 8, which add up to 18.
Three rowing friends have a boat in common and want to manage so that each of them can use it at any time without any stranger can take it. Each of them has a lock with its corresponding key and they want to tie the boat with a chain locked by the three locks, each of which is opened with a different key.
In the Sahara desert, a Tuareg has camels and dromedaries. Together they add 32 legs and 13 humps. How many camels and dromedaries do you have? Solution It has 5 camels and 3 dromedaries. 32 legs: 4 legs per animal = 8 animals 13 - 8 = 5 camels 8 - 5 = 3 dromedaries
For readers interested in social tricks here is an entertaining game that can be used to entertain guests after a banquet or a party. Eight wine glasses, four empty and four partially filled perfectly illustrate the trick. As in all similar exhibits, it all depends on the expertise and intelligent performance of the person who plays the game that must know its part perfectly so that it can do the trick without hesitation while convincing its viewers with the help of a relentless talk, that the trick is very easy and that anyone can do it if it is not a cork oak head or a fool without remedy.
A hiker, very early in the morning, started climbing the path that leads to the mountaintop shelter. He does not walk with a regular pace but rather to contemplate the landscape, take pictures, rest, eat, so that he stops as soon as he accelerates or goes slowly. He reaches the top at sunset and after dinner he spends the night in the shelter.
To demonstrate how mathematics can be discussed in a digestible way let's take a look at the following problem that arises with the new regime introduced by the recently constituted "reality of the cake": It is known by all that the Chef of the French pension of the Mrs. O'Flaharity has cut too many pieces of a cake which conflicts with article V of the statutes that says: “A union must divide the cake with six straight cuts of a knife.
In this scene of an old railroad we have a machine and four wagons facing another machine with three wagons. The problem consists in discovering the most effective way for both trains to continue on their way using the lateral track in which, due to its length, it is only possible to house one locomotive or one car at a time.
Background Vector created by freepik Here's a beautiful anecdote of daily life, which the good housewife solved in a minute, but that brought more than one mathematician to the limit of madness. Smith, Jones and Brown were great friends. After the death of Brown's wife, her niece took over the house.
Here is a well-known game of the East that is played with rules very similar to those of the famous game of "Ta-Te-Ti" (or game of the squares). One of the young Chinese writes sixteen letters in four rows on a blackboard, as seen in the drawing. After marking a straight line between A and B, he passes the board to his opponent, who connects E with A.
The other day, my friend and I were taking a walk through the Coney Island beach games when we arrived at one that the man told us was the most honest beach game. There were ten dolls that you had to lay down throwing baseballs. The man said: “You have as many pitches as you want at a penny each and you can do them from as close as you want.
The teacher is explaining to his students the remarkable fact that twice gives the same answer as two plus two. Although 2 is the only integer that has this property there are many pairs of numbers that can replace A and B in the equations that are to the right of the board. Can you discover a pair like that?