Integer equation - practice problems - page 6 of 10
Number of problems found: 194
- 600 pencils
Six hundred pencils we want to be divided into three groups. The biggest groups have ten pens more than the smallest. How many ways can this be done? - Tricycle scooter assembly
John had 19 wheels in the kit. He used all these wheels in the construction of tricycles and scooters. How much does he assemble complete scooters, and how many tricycles? Find all solutions. - Teachers Salary Average
A total of 10 teachers work at one small school in Moravia. Their monthly salary is CZK 21,500, CZK 21,800, or CZK 22,500, depending on their education and age. The average monthly salary of a teacher at this school is CZK 21,850. How many teachers of thi - Block edge dimensions
How many blocks have integer dimensions of the edges if the surface is 48 m²? - Average Grade Goal Worst
Johnny has committed that his average grade in mathematics will be exactly 2 at the end of the semester. However, so far, he has received grades 3 and 4. He knows that by the end of the year, he will receive four more grades from the tests. What are the w - Grandmother
Mom walked out to visit her grandmother in a neighboring village 5 km away and moved at a speed of 4 km/h. An hour later, father drove down the same road at an average speed of 64 km/h. 1) How long will it take to catch Mom? 2) What is the approximate dis - There
There are two numbers on the screen - one in the blue and the other in the red box. In the beginning, both numbers are the same. With each beep, both numbers increase - by 1 in the blue field and by 3 in the red field. At one point, the number 49 appears - Two-digit number puzzle
The digit sum of a two-digit number is 11. After changing the order of the digits, I get a number 27, smaller than the intended number. What number do I think? - Consecutive integer sum The sum of four consecutive integers, five greater than the previous one, is 2. Find these numbers.
- The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor; no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in - She encoded
Aunt Heda likes puzzles, but her memory is no longer working for her. She chose the 4-digit code on her mobile phone as follows: She encoded her name according to the order of the letters in the alphabet (A=1 B2 C3 D4 E5 F6 G7 H8 I9 ) inserted one multipl - Test Points Correct Incorrect
Tomáš was given the task of solving 10 problems. He received 3 points for each correctly solved, and 4 points were deducted for each incorrectly solved. He scored a total of 9 points. How many tasks did he solve correctly, and how many incorrectly or not - Chocolate
I have a box of chocolate - white, milk, and dark. The ratio of white to milk with dark is 3:4. The ratio of white and milk to dark is 17:4. Calculate the ratio between white, milk, and dark chocolate. - Year 2018
The product of the three positive numbers is 2018. What are the numbers? - Mother Daughter Age Puzzle
If Nina were nine times older and her mother was nine times younger, they would be 85 years old. So, Ninka is 85, and Mom is 85. - MO Z8-I-1 2018
Frank and David meet daily in the elevator. One morning, they found that if they multiply their current age, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Frank and David. - Age In 1960, my age was equal to the digits sum of the year of my birth. What is my age now?
- Z7–I–4 2018 MO Betka
Karel was playing with gears assembled into a gear train. When he turned one wheel, all the others turned too. The first wheel had 32 teeth and the second had 24 teeth. When the third wheel (which is in the middle of the gear train) made exactly eight ful - Positive integers
Find all positive integers x and y for which: 1 / x + 1 / y = 1/4 - Integer
Find the integer whose distance on the numerical axis from number 1 is two times smaller than the distance from number 6.
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