Equations practice problems - page 148 of 242
Number of problems found: 4829
- Language choice
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination. - Tickets Sold Fraction
The salesman had several tickets. He sold a third to the first customer and a third to the others. He has six tickets left. How many did he initially have? - The truck
The empty truck left the warehouse for goods at 10:00 and arrived at 11:30. At 2:00 pm, they loaded back on the same route. But it was a quarter slower than going to the warehouse. We know that on the way to the warehouse, the car traveled at a speed of 1 - School
Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, one remains when sorted into 3, 4, 5, and 6 members teams. Sorted to seven members teams, no left behind. How many pupils are attending this school? - Class composition
There are 25 pupils in every 5th class in the class, 18% of boys and 23% of girls. How many boys are in the class, and how many girls are there? - The math test The math test contains 20 problems. For each correctly solved problem, the solver gets 3 points. For each incorrectly solved or unsolved problem, 2 points are deducted. Ondrej got 25 points. How many problems did he solve correctly?
- Young mathematician
A young mathematician was bored. He found that the average age of people in the room where the seminar is held is equal to its count. Then, his 29-year-old brother entered the room. Even then, the average age of all present was the same as the count of pe - Brick scale balance
Not one bowl of isosceles scales is two bricks and weighs 0.5 kg. The second bowl is half a brick and weighs 5 kg. How much does the whole brick weighs when the scales are in balance? - Merchant
The merchant lowered cost by 10% in December when it was not sold. Again, in January, it lowered costs by 20% and now costs 576 €. A. How much did the goods stand originally? B. How much do the goods cost after the first lowering? C. How much percent of t - Three Cars on Route
On the 182 km route, car A left at 9:00 a.m., car B at 9:30 a.m., and car C at 9:45 a.m. All three cars reached their destination at the same time. The average speeds of cars A and B differed by 6.5 km/h. How much did the average rates of cars A and C dif - Paul earned
Paul earned 300 CZK in one hour, Václav 1/3 more than Paul. Václav worked 60 hours, which is 1/3 fewer hours than Paul worked. How much percent less did Paul an hour than Václav? How many hours did Paul more than Václav? How much did Paul earn more than V - Geometric Sequence Adding Number
If we add the same number x to the numbers -1,3,15,51, we get the first four members of the geometric sequence. Calculate the number x and the first four members of the geometric sequence. - Machine depreciation
The company bought a new machine for CZK 350,000. Due to wear and tear, its price will decrease by 10% annually. The machine can be written off if its price drops below 30% due to wear and tear. Determine how many years the company can depreciate the mach - Catching Up to Truck The truck drove out of the factory at an average speed of 60 km/h. A car drove past him in half an hour, and in an hour and a half, he caught up with him. What was the average speed, and how many km did she drive?
- Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6:5:3. Find the length of the longest side of the triangle in cm. - Consecutive Numbers Product Difference
The product of two consecutive natural numbers is 46 less than the product of the other two consecutive natural numbers in a row. Identify unknown numbers. - Angle between line and plane
Find the angle between the line given parametrically by x = 5 + t y = 1 + 3t z = -2t t ∈ R and the plane given by the equation 2x-y + 3z-4 = 0. - Solutions, mixtures
How many liters of 70% solution must we add to 5 liters of 30% solution to give us a 60% solution? - Rectangular Garden Area
Calculate the area of Mr. Vejvoda's rectangular garden rounded to whole hectares if you know that garden fencing, including gates and doors, is 420 m long and its dimensions are in the ratio of 9:5 - Workers Two workers will construct the stage at the festival in 54 hours. Organizers need to shorten the assembly time by 42 hours. How many workers must the assembly company send?
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