System of equations - practice problems - page 9 of 110
Number of problems found: 2182
- Two workshops
Two workshops were supposed to produce 4,000 sets of kitchen utensils together. After completing the task, it was found that the first workshop produced 534 sets more than originally planned for it, while the second workshop fulfilled its plan at 80%. How - Four-digit number
George is thinking of a four-digit number and gives us the following clues: a) Its digit sum equals one hundredth of the number obtained by rounding the mystery number to the nearest hundred. b) Its last digit is 1 more than the second-to-last digit. c) T - MO Z7 2025
Adela and Susan ate plums. On the first day, Adela ate three quarters of what Susan ate that day. On the second day, Susan ate three halves of what Adela ate that day. Together, they ate 31 plums over the two days, and each girl ate a whole number of plum - Peter 27
Peter earned twice as much as Jano from his part-time job. Jano earned €50 less than Peter. How much did each of them earn? - Oranges and apples
Mr. Novák bought 5 times more oranges than apples. One orange cost 8 CZK and one apple cost 12 CZK. He paid 156 CZK in total. How many oranges and apples did he buy? - Employees in a company
A company with 326 employees decided to build a parking lot for employees. In the parking lot design there are 84 parking spaces for cars. Each parking space for cars can be replaced with 3 parking spaces for motorcycles. Calculate the total number of veh - Angles alpha 2
Angles alpha and beta are supplementary. Calculate their sizes if angle alpha is 50 degrees less than angle beta. - Swimming pool 5
There are 5,500 men, women, and children at a swimming pool. There are twice as many women as men, and four times as many children as women. How many men, women, and children are there at the swimming pool? - Four-digit - sum A four-digit number has a digit sum of 20. The sum of its last two digits equals the second digit increased by 5. The sum of the first and last digits equals the second digit decreased by 3. If we write the digits of this number in reverse order, the numb
- Timetable
If a train travelling between two cities increases its scheduled speed by 5 km/h, it arrives 20 minutes early. If it decreases its speed by 5 km/h, it arrives 25 minutes late. How long is the route between the cities? - In a right triangle 13
The altitude to the hypotenuse of a right triangle is 4.8 cm. The two segments of the hypotenuse are in the ratio 4:3. Calculate the perimeter and area of the triangle. - Didactic test B0
A tourist cycled 28 km on an asphalt road and 25 km on a dirt road, taking 3 hours and 36 minutes in total. At what speeds did the tourist travel each section if he rode 1.4 times faster on the asphalt road than on the dirt road? - Prepare
From two types of tea priced at 1,500 Sk/kg and 2,100 Sk/kg, 29 kg of a mixture priced at 1,650 Sk/kg is to be prepared. How many kilograms of each type of tea should be mixed? - Kilometers of the journey A cyclist travelled 199 km over three days. On the first day, he travelled four times as far as on the second day, and on the second day, he travelled 7 km less than on the third day. How many kilometres did he travel each day?
- Three items
The price of a product is determined by these three items: the price of equipment (hardware), the price of software, and the profit. The price of the software was 500 Kč higher than three times the price of the hardware. The profit was set twice as high a - Fair
Several students from our class went on excursions and each paid the same amount. In the end, some money was left over that needed to be returned to them. If we returned €3 to each person, there would still be €5 left. If we returned €4 to each person, th - Dimensions - rectangle
One side of the rectangle is 12 cm longer than the other. If we reduce each dimension by a third, the area of the rectangle will be reduced by 60 cm². Determine the dimensions of the rectangle. - Apples in Basket There are 24 pieces of fruit in the basket. Apples are 2 times more than pears. How many apples are in the basket?
- Rectangle Dimensions from Perimeter
The perimeter of the rectangle is 56 cm, and its length is three times greater than its width. What are the dimensions of the rectangle? - Textbook and Workbook Price
A textbook with a workbook costs 14 euros. The workbook is 6 euros cheaper than the textbook. How much is the textbook, and how much is the workbook?
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