System of equations + reason - practice problems - page 17 of 20
Number of problems found: 399
- Friends
Some friends had to collect the sum of 72 EUR equally. If the three refused their part, others would have to give each 4 euros more. How many are friends? - Pages of book
Lenka calculated that if every day read 16 pages of the book, and read a book a day earlier, then she had read only 14 pages a day. How many pages has this book? - Buttercups 2031
Paul has eight dry mushrooms, 1/2 fewer oaks, and cossacks, five times more than buttercups. Cossacks and buttercups have a total of 3 times more than dry mushrooms. How many mushrooms do they have together? And how many buttercups and how many Cossacks? - Water container
The container with water weighs 1.48 kg when we cast 75% of the water content of water weight 0.73 kg. How heavy is an empty container?
- Borrowed book
Jane must, as soon as possible, return a borrowed book. She figured that reading 15 pages a day return the book in time. Then she read 18 pages a day and then returned the book one day before. How many pages should a book have? - Scouts
Three scouts went on a three-day trip. On the second day went 4 km more than the first day. The third day went two times less than the first day. They went along 54 km. How many kilometers went every day together? - Pytagoriade
Two fifth-graders teams compete in math competitions - Mathematical Olympiad and Pytagoriade. Of the 33 students who competed in at least one of the contests, 22 students. Students who competed only in Pytagoriade were twice as many who just competed in t - Jane and Miro
Jane's brother Miro is 42 years. And he is three times old as was Jane when Miro was for so many years as there are now Jane. How old is Jane? - Tea blend
Tea blends are made from two kinds of tea. In standard tea, the mixture is two teas in the ratio of 1:3, and 40 g costs 42 CZK. In the premium tea mixture, weighing two teas in the ratio of 1:1 and 50 grams costs 60 CZK. How much cost 10 grams of a more e
- Trickster
Figliarko has 13 cents less than Hana. Together they have 57 cents. How many cents has Hana, and how many Figliarko? - Candies
If Alena gives Lenka 3 candies will still have one more candy. If Lenka gives Alena 1 candy, Alena will have twice more than Lenka. How many candies have each of them? - Farm2
The farm bred turkeys, geese, hens, and chickens. Everything is 400. Turkeys and geese a hen are 150. No hen has more than one chicken, but some hens have no chick. Half of them are also a quarter of the chickens. When the turkey was subtracted by 15, we - Father and son
Father is three times older than his son. Twelve years ago, the father was nine times more senior than the son. How old are father and son? - Antennas
If you give me two antennas, it will be the same. If you give me again your two antennas, I have 5× so many more than you. How many antennas have both men?
- Cents
Julka has 3 cents more than Hugo. Together, they have 27 cents. How many cents has Julka and how many Hugo? - Holidays
Of the 35 students in the class, were seven on holiday in Germany and just as many in Italy. Five students visited Austria. In none of these countries were 21 students. One student visited all three. In Italy and Austria were two students and in Austria a - The city
In the city, 2/4 of women are married to 3/4 of men. What percentage of townspeople is single (not married)? - School year
At the end of the school year, 20% of the 250 children who attended school were awarded. Award got 18% of boys and 23% of girls. Find how many boys and how many girls attend school. - Barrel 3
Barrel with water weights 118 kg. When we get off 75% of water, it weighs 35 kg. How many kg has an empty barrel?
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