Natural numbers + system of equations - practice problems - last page
Number of problems found: 257
- Students
If the fifth-grade class left 20% of students and in the seventh grade were added two pupils, in the eighth one pupil, the number has not changed in the ninth grade, but it is now tenth students less than it was in the fifth grade. How many pupils are in - Swimming 79054
One hundred seventy-one pupils from the second to fourth years of primary school participated in swimming training. How many of them were from the fourth grade if there were 10% more third graders than second graders and 20% more fourth graders than third - Saplings 31521
The orchard was planted over three years. In the second year, 15% more saplings were planted than in the first year. In the third year, 40% fewer saplings were planted than in the first and second years combined. A total of 4,128 saplings were planted. Ho - Bottles 31621
We filled 90 liters of must into bottles. Some have a volume of 1 liter, and some with a volume of 1.5 liters. We have a total of 70 bottles of must. How many bottles of each species did we fill?
- Eighty-eight 21113
588 pupils attend the school. There are 10% more girls than boys. How many boys and how many girls go to school? - Crown
Siblings collect 2-crowns and 5-crowns. Together have 80 coins with a total of value 310 crowns. How many saved two crowns, and how many five crowns? - Afforestation 24341
During the afforestation, 2,950 saplings were planted in three days. On the second day, 25% more saplings were planted than on the first day, and on the third day, 15% more than on the second day. How many saplings were planted on each day? - Five-crown 63854
Petra has two-crown and five-crown coins. He has ten coins in the coffers. How many two crowns and five crowns if she saved CZK 29? - Classes 23161
There are a total of 56 pupils in three classes in the rural school. In the second grade, there are 20% fewer pupils than in the first grade, and in the third grade, there are 25% more pupils than in the second grade. How many pupils are there in each cla
- Consecutive 29761
Determine three consecutive natural numbers, the sum of which is 66. - Employees 22433
The company has 250 employees. There are 30 more men than women. How many men work in the company, and how many women? - Two math problems
1) The sum of twice a number and -6 is nine more than the opposite of that number. Find the number. 2) A collection of 27 coins, all nickels, and dimes worth $2.10. How many of each coin are there? The dime, in United States usage, is a ten-cent coin. A n - Average monthly salary
A total of 10 teachers work at one small school in Moravia. The monthly salary of each is 21,500 CZK or 21,800 CZK or 22,500 CZK, according to their education and age. The average monthly salary for this school's teacher is 21 850 CZK. How many teachers o - Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.)
- Arithmetic 62644
The sum of the two numbers is 18, and their difference is 10. What are the numbers? Calculate the arithmetic mean of the product and the proportion of these numbers. - MF graduate
78 school students graduate in mathematics or physics. Three times more students graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate in mathematics. How - Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer
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