# System of equations + reason - practice problems - page 2 of 16

#### Number of problems found: 320

- Pigs

A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs ten denarii, a sow five denarii, and two little piglets are worth one denarius. " How many pigs, cows, and piglets could he buy for exactly 100 denarii? - Tourists

Tourists hire a guide. Everyone will pay the same amount. If there are two less of them, they will pay 14 crowns more, and if there are three more, they will pay 14 crowns less. How many tourists are there and how much have the guides paid. - The family

How old is a mother if she is four times older than her daughter and 5 years ago she was even seven times older than her daughter? Today, a son is 30 years younger than a father. 7 years ago, a father was seven times older than a son. How old is a son tod - Two grandmothers

Two grandmothers went to sell eggs at the market, and they had a total of 100. When they sold all the eggs, they made the same money. The first grandmother says to the second: "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmot - Coloured numbers

Mussel wrote four different natural numbers with coloured markers: red, blue, green and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it div - Barborka 36393

Adélka and Barborka have a total of 34 candies. If Barborka gives Adelka 2 candies, they will have the same. How many candies does Adélka have, and how many Barborka? - Fresh juice

The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the juice - Kohlrabies

The price of one kohlrabi increased by € 0.40. The number of kohlrabies that a customer can buy for € 4 has thus decreased by 5. Find out the new price of one kohlrabi in euros. - Consecutive 29761

Determine three consecutive natural numbers, the sum of which is 66. - Father and son

When I was eight years old, my father was 30 years old. Today, my father is three times more than me. How old am I? - Lottery - eurocents

Tereza bets in the lottery and finally wins. She went to the booth to have the prize paid out. An elderly gentleman standing next to him wants to buy a newspaper, but he is missing five cents. Tereza is in a generous mood after the win, so she gives the m - Candles

Before Christmas, Eva bought two cylindrical candles - red and green. Red was 1 cm longer than green. She lit a red candle on Christmas Day at 5:30 p. M. , lit a green candle at 7:00 p. M. , and left them both on fire until they burned. At 9:30 p. M. , bo - Lookout tower

How high is the lookout tower? If each step was 3 cm lower, 60 more of them were on the lookout tower. If it were 3 cm higher again, it would be 40 less than it is now. - Columns of two and three

When students in one class stand in columns of two, there is none left. When he stands in columns of three, there is one student left. There are 5 more double columns than three columns. How many students are in the class? - Adam

Adam has half the money in his right pocket than in his left pocket. If he transferred 40 crowns from the left pocket to the right, he would have the same in both pockets. Calculate how many crowns does Adam has in his left pocket more than in his right? - Together 23211

Lenka is three times younger than her brother Lukas, and they are 20 years old together. How old is Lenka, and how many are Lukas? - Chocolate and biscuit

Chocolate is twice as expensive as a biscuit. It costs CZK 8 more. How much is chocolate, and how much is a biscuit? - Slovakia-Sweden 22453

Our reporter at the Hockey World Cup during the Slovakia-Sweden match said: at the beginning of the third period, we are in a two-goal deficit. What was the state of the match when both teams had scored a total of 4 goals by then? - Sweets, candy

Grandfather gave out sweets to four children. At the last moment, two more children came, so in order to have them all the same, each of the four children would receive four candies less than they would have received if they had not. How much did my grand - Bent scale

Monica weighed 52 kg. Sara 54 kg. Together they weighed 111 kg. They noticed that the weight on the scale was bent. How much did they really weigh?

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