Integer equation - practice problems - page 8 of 10
Number of problems found: 194
- Bills count
Dad had 33 bills. One hundred crowns, two hundred and five hundred. A two-digit number gave the number of each species. How many did he have if he had a total of 9100 CZK? - Coin count
Eve had seven coins. Crowns, two-crowns, and five-crowns. At least two of each. How many did she have if she could buy three packs of gum for six crowns? - Bicycles
You're the owner of the transport's learning playground. Buy bicycles of two colors, but you've got to spend accurately 120000 CZK. The Blue bike costs 3600 CZK and the red bicycle 3200 CZK. - Real estate
The residential house has three entrances numbered by odd numbers in arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of these three numbers. - Tricycles and scooters
Honza's kit included 19 wheels. He used them all to construct tricycles and scooters. How many complete scooters and tricycles did he build? He will find all the solutions. - Polynomial coefficients
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1) - Subjects
A student takes 5 minutes to complete a maths problem and 12 minutes to complete a biology problem. One day, he has a combined homework assignment of 11 problems that takes him one and a half hours to complete. How many problems are from each subject? - Modulo
Find x in the modulo equation: 47x = 4 (mod 9) Hint - read as what number 47x divided by 9 (modulo 9) gives remainder 4. - Two friends
Two friends met as a good man perished together for a beer. After recovering the most important topics (politics, women, football ...), one asks: - And how many children do you have? - I have three children. - And how many years have you? A friend already - Cakes Z8-I-5
Mom brought ten cakes of three types: coconut was less than Meringue Cookies, and most were caramel cubes. John chose two different kinds of cakes. Stephan did the same, and Margerith left only the same type of cake. How many coconuts, Meringue Cookies an - Terrace tiles
Mr. Novak wants to pave a terrace using two sizes of square tiles, while minimising the number of tiles. His terrace is square with a side of 3 metres. Two sides of the terrace are against the house wall. Along the walls, he wants to place small tiles, an - Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. Write a total of this number and its fifth on the second line. She wrote a sum of this number and its one ninth on the third row. Finall - Unknown number 5
Daniel thinks of an integer. When he changed this number to a ratio of 2:5, he got the number 2.8. Determine what number Daniel thinks. - Root equation
We have 2 numbers. If we multiplied the first number's third root by the second number's square root, we would get the number 18. Determine these 2 numbers. Calculate only the integer solution if the problem has infinitely many solutions in the set of rea - The gardener
The gardener bought trees for 960 CZK. If every tree were cheaper by 12 CZK, he would have gotten four more trees for the same money. How many trees did he buy? - Unknown number
Find an unknown number: (9 + y) x 6 = 12 x 7 y =? - Grandchildren ages
When asked: "How old are your two grandchildren?" the grandfather answers: "If I add their sum to the product of their ages, I get 14." How old are the grandfather's grandchildren? Consider only whole years. - Fraction addition
Which same integer must we add to the reader and the denominator of the fraction 37/73 so that the fraction equals one-half? - Football tickets
Adam was at some of his favorite football team's home games last season. Sometimes, he bought a seat ticket for €9, sometimes a standing ticket for €5. He spent a total of €76. How many times did Adam buy a seat ticket, and how many times did he buy a sta - Animals count
Horses, sheep, and ducks graze in the meadow. Sheep are more than ducks. Sheep and ducks have a total of 100 heads and legs. Ducks and sheep are three times more than horses. How many horses are there?
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