System of equations - math word problems - page 40 of 110
Number of problems found: 2182
- Hostel room calculation
Fifty-one students are accommodated in the tourist hostel in 15 four-bed and three-bedrooms. How many rooms are there if there are 2 spaces left after housing? a) There are four-bed rooms. b) There are three-bed rooms. - Cyclist distance calculation
The cyclist rode 44 km and 400 m in three days. In the first hour, he covered the course 5% longer than in the second hour, and in the third hour, he covered 1 km more than in the first hour. How many km did he travel in the third hour? - Water mixing
We have 520 ml of hot water and 640 ml of water at 48 °C. What is the temperature of approximately hot water when the resulting mixture has a temperature of 65 °C? - Columns of two and three
When students in one class stand in columns of two, there is none left. When he stands in columns of three, there is one student left. There are five more double columns than three columns. How many students are in the class? - Two-digit number puzzle
In a two-digit number, the number of tens is three more than the number of ones. If we multiply the original number by a number written with the same digits but in the reverse order, we get the product 3 478. Determine the actual number. - In the dairy
The dairy had three times more milk packages than half a liter. Four times more liters remained when sold in 10 liters and 10 half-liter containers than in half-liter packages. How many packages were there originally? - The rectangle
The rectangle has a circumference of 32 m. One side is 2 m longer than the other side. Calculate the side lengths of this rectangle. - The circumference
The circumference and width of the rectangle are in a ratio of 5:1. Its area is 216 cm². What is its length? - Started A pedestrian leaves point A at a speed of v₁ = 5 km/h. After 3 hours, a cyclist sets off from the same place at a speed of v₂ = 20 km/h. At the same time as the cyclist, a car starts from point B, which is 50 km away. Calculate the distance and time at wh
- Sapling planting calculation
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? - Number sum calculation
Of the four numbers, the second is five larger than the first, the third two smaller than the first, and the fourth is twice larger than the first. Find these numbers if their sum is 38. - Internal angles
In the ABC triangle, the magnitude of the inner angle beta is one-third the magnitude of the angle alpha and 20° larger than the magnitude of the gamma angle. Determine the magnitudes of the interior angles of this triangle. - Book reading time
If I read a book at a rate of 15 pages a day, I will read it three days sooner than if I read it at a rate of 10 pages a day. If I read at a rate of 6 pages daily, I'll read a book. - Caramel sharing calculation
Annie and Jane shared 21 caramels, while Jane had 40% of what Annie received. How many caramels did she get? - Reception nationality distribution
Forty-eight people were present at the reception. Among them were Czechs, Slovaks, and Germans. Slovaks were 4 more than Czechs and Germans 6 less than half Czechs and Slovaks. How many Czechs, Slovaks, and Germans were there at the reception? - Side lengths
In the triangle ABC, the height to side a is 6 cm. The height to side b is equal to 9 cm. Side "a" is 4 cm longer than side "b". Calculate the side lengths a, b. - Worker reward distribution
Three employees received a reward of CZK 5,000 for the improvement proposal. They divided the money according to work so that the first got twice as much as the second, and the second got three times as much as the third. How many crowns did each person r - Adam
Adam has half more money in his right pocket than in his left pocket. If he transferred 40 crowns from the left pocket to the right, he would have the same in both pockets. Calculate how many crowns Adam has in his left pocket more than in his right. How - Meeting speed calculation Adam and Eve live 20 km apart. They are going to a meeting. Adam moves at a speed of 2 km/h faster than Eve. They will meet in one and a half hours. Determine their speeds.
- Computer banknote payment Dad paid for the computer with banknotes worth 500 and 1,000 CZK. The number of banknotes was 56, and the price of the computer was CZK 44,000. How many banknotes did he have?
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