System of equations - practice for 13 year olds - page 22 of 45
Number of problems found: 886
- Original 6497
Two numbers are in the ratio 5:6. If one number is smaller by seven and the other is larger by seven, there will be new numbers in the ratio 4:7. What is the original, and what are the changed numbers? - Remainder 6493
A third of the 1st-grade pupils eat lunch and a snack in school, a quarter only have a snack in school and a sixth only have lunch in school. The remainder, 15 pupils, do not go to primary school. How many pupils are there in the 1st grade? And how many a - Four numbers
The first number is 50% second. The second number is 40% third. The third number is 20% of the fourth. The sum is 396. What are the numbers? - Triplets
Three years ago, the triplets Pavel, Petr, Luke, and their five-year-old sister Jane had been together for 25 years. How old is Jane today?
- Distance 6460
Tomas will leave point A at a speed of 4 km/h at 9 o'clock. Ondra will meet him from point B at a speed of 3 km/h at 9.30 am. The distance between points A and B is 5.5km. What time do they meet, and how far will they be from point B? - Together 6451
Peter and Paul are 26 years old together. Four years ago, Peter was twice as old as Paul. How old is Peter? And how much for Paul? - Apples
Zuzana bought 3 kg Jonathan apples. Then she noticed that Golden apples were 3 CZK a kilogram cheaper. So they bought 2 kg. For apples, she paid a total of CZK 109. How much did 1 kg, Jonathan, and how much Golden? - English-German 6443
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. - 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
- Pupils 6434
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? - Accommodated 6380
The hotel has single and double rooms. There are 7 more single rooms than double rooms. How many people are accommodated in double rooms if the hotel is fully booked and has a capacity of 100 people? - Hotel rooms
In the 45 rooms, there were 169 guests. Some rooms were three-bedrooms and some five-bedrooms. How many rooms were there? - Vegetable stew
The recipe for vegetable stew is recommended to mix tomatoes, peppers, and onions in a ratio of 4:3:1. The cook has already prepared both onions and peppers. In contrast, the onions were five kilograms less than the peppers. How many kilograms of tomatoes - Value 4
If 5/18 of some number = 425, what is the value 13/18 of this number?
- Transportation 6319
The pupils traveled on the trip by minibus, while the cost per participant was 15 euros. If they occupied the last 4 free seats in the minibus, the cost per participant would be reduced by 3 euros. What was the total cost of minibus transportation? - Parallelogram 6288
Find the interior angles of the parallelogram if you know that one of them is 50 degrees larger than the other. - The sides
The sides of a rectangle are in a ratio of 2:3, and its perimeter is 1 1/4 inches. What are the lengths of its side? Draw it. - Exchanged 6256
Pupils exchanged pencils, erasers, and pens so that there were two pens for 15 pencils and three pencils for two erasers. How many erasers were there for one pen? - Soaps
Each box has the same number of soaps. A quarter of all boxes contain only white soaps, and in each of the remaining 120 boxes, there are always half the white soaps and half the green. White soaps total 1200. (a) the number of all soap boxes; (b) the sma
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