7.6: The Method of Frobenius I - Mathematics
How many single men are there? Difficulty level: Three tenths of all men in a certain place are married. Two-fifths of all women in the same place are married. What fraction of this group is made up of single men? Challenge 124 The Death Sentence Challenge Index Next >> Challenge 126 Aligning the Dots
Splitting the Camels Difficulty Level: In an inheritance, there were 35 camels to be divided between 3 children. However, the first child should have half the camels, the second child should have the third part of the camels, and the third child with the ninth part of the camels. Since the half of 35 camels is 17.5, the third part is 11 and the third part is 3, it is difficult to divide the inheritance, since we cannot cut the camels in half.
The rabbit and its food Difficulty level: A rabbit is 2 meters from its food. Knowing that with each jump he reaches half the remaining route, one wonders: How many jumps will he need to reach his food? * user-submitted challenge Gentil Lins do Nascimento Silva Challenge 130 The Traveler Challenge Index Next >> Challenge 132 Adults and Children in the Elevator
The Traveler Level of Difficulty: A man was traveling to the land of stone when halfway there he found seven women, each carrying seven children, each child carrying seven animals. How many people traveled to calculus land? * User Submitted Challenge Guilherme Gabriel Challenge 129 Take 4 of 4 and Left 8 Challenge Index Next >> Challenge 131 The Rabbit and its Food
Clodovando's father and grandfather Difficulty level: In 1938, Clodovando's father and grandfather discovered that the last two digits of their birthdates were their ages that year. How old was your grandfather when his father was born? Challenge 103 Correcting the Expression with a Dash Challenge Index Next >> Challenge 105 Moving Just a Stick
Wine Bottles Difficulty Level: A merchant buys a box of foreign wine for $ 1,000 and sells for the same price after removing 4 bottles and increasing the price of the dozen by $ 100. So what is the original number of wine bottles in the box? Challenge 13 Your Age Challenge Index Next >> Challenge 15 Check Fetch Error
Discover the King's Name Difficulty Level: Discover the name of a famous king through this charade: “With five hundred begins. In the middle is the five; The first number, the first letter occupy the other positions. Put it all together and name the great king In front of you will appear ”Challenge 141 Adroaldson's Wallet Challenge Index Next >> Challenge 143 Ice Cream Promotion
Elves in the Chimney Difficulty Level: Two elves, Santa's helpers, went to deliver presents to a house down the chimney. When they got inside, they looked at each other. One was black-faced with soot, but the other was clean. Without saying a word, the goblin whose face was clean went to wash his face, while the goblin with the dirty face did nothing.
The Grid Logic Difficulty Level: Unravel the logic used in the grid below and answer: 3 8 7 4 5 9 4 4 4 6 8 7 8 3 2 1 4 Which number should be placed in the empty space? Challenge 166 How much do you want to earn? Challenge Index Next >> Challenge 168 Spinning the Coin
Watermelon in the sun Difficulty Level: A 1 kilogram watermelon has 1% solid and 99% liquid. After being in the sun, she dehydrated and got 98% liquid. How much does she weigh after sunbathing? Challenge 159 Little John Waiting for Bus Challenge Index Next >> Challenge 161 As Many As Possible
Planting a flower Difficulty level: In a flower bed, flowers that form two squares were planted, according to the drawing. It is intended to plant one more flower in order to obtain a new square. Where should this flower be planted? Challenge 171 The False Cube Unfolded Challenge Index Next >> Challenge 173 The Jewelery Auction
How much do you want to earn? Difficulty Level: When hiring you, your boss asks you to choose from the following two payment proposals: 1) $ 4,000 for one year of work and then an increase of $ 800 each year. 2) $ 2,000 for six months of work and an increase of $ 200 every six months.
Move a toothpick Difficulty level: Consider the following equation with Roman numbers using toothpicks: Of course, this equation is not true, since 2 is not equal to 6. Find two ways to make the equation true by moving just one toothpick. * Submitted by Wanderley Fernandes Challenge 181 Adding Six Challenge Index Next >> Challenge 183 Painting Numbers on Cubes
Beach Volleyball Tournament Difficulty Level: Last summer, there was a big Beach Volleyball doubles elimination tournament. One hundred and twenty eight doubles signed up for the event. Considering that Douglão and Robervaldson were third, how many games were played in the tournament?
Bricks in the Truck Difficulty Level: A small truck can carry 50 sandbags or 400 bricks. If 32 sandbags have been placed in the truck, how many bricks can it still carry? Challenge 25 Number that makes the equation true Challenge Index Next >> Challenge 27 What is the division quotient?
The Gift Price Difficulty Level: A person will buy a gift and it takes $ 1,200.00. When asked how much the gift cost, she said: "Remaining change, but I will not say either the change or the price of the gift. I only say that the price of the gift, being read in reverse, is the value of 9 gifts.