System of equations - practice for 14 year olds - page 32 of 61
Number of problems found: 1211
- Increases 7430
The two numbers are in the ratio of 5:6. The first one decreases by ten, and the second one increases by 10, then these two numbers are in the ratio of 4:7. What are the numbers? - Two-fifths 7427
Divide the number 135 into two summands so that one summand is 30 greater than two-fifths of the other summand. - Tractors
Wheel and belt tractors each day plow 8 ha of fields. The wheel tractors would have to work to plow 76 hectares for 12 days. Eight days with the belt tractor together. How many hectares do each day of each tractor? - Water current speed.
Two cities along the river are 100 km apart. The powerboat downstream runs for 4 hours, upstream for 10 hours. Determines the river's current speed.
- Ages 2
A man's age is four times his son's age. After five years, he will be just twice his son's age. Find their ages. - The tub
If we drop the 5 l from the first tap and the second 2 liters of water, the water in the tub will have a temperature of 25°C. If we drop 3 l from the first tap and from the second 4 l of water, the water in the tub will have a temperature of 21°C. Determi - Bullets 7405
Pavol, Igor, and Kubo played bullets. They had a total of 25 marbles. Palo had 6 more bullets than Kubo at the start. Then Igor won 8 bullets from Pavol, and thus Igor had the same number of bullets as Kubo. How many marbles does Pal have left? - Two cities
The distance between cities A and B is 132 km. At 9.00 am, the cyclist started the bike at an average speed of 24 km/h, and at 10.00 am, the B cyclist at an average speed of 30 km/h. How long and far from A will they both meet? - The pool
The pool contains 220 m³ of water. Workers can empty the pool either: a) 10 hours of pipe B and 8 hours of pipe A, or b) 10 hours of pipe A and 7 hours of pipe B. How many cubic meters of water will flow in 1 hour from pipe A, and how many from pipe B?
- Differing 7391
The product of two numbers differing by four does not change when we decrease the larger number by two and increase the smaller number by one. What are the numbers? - Banknotes 7389
My mother had CZK 1,550 in her wallet in CZK 100 and CZK 50 banknotes for 21 pieces. How many banknotes were there? - Mixing water
We should fill the 30-liter container with water at 60 degrees Celsius. How many liters of water is 80 degrees C hot, and how many liters of water 20 degrees Celsius warm do we have to mix? - Kindergarten 7381
The municipal authority purchased 36 large and 25 small rubber balls for the children in the kindergarten. They paid as much for two large balls as for five small ones. The invoice was issued for CZK 5,980. How much did the big ball cost? - Summands 7380
Divide the number 4600 into two summands so that one summand is 700 larger than half of the other summand.
- Three unknowns
Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0 - Difference 7359
The apartment on the first floor has an annual rent of 10% higher than the same apartment on the second floor. The difference in the yearly rent is €105. What are the annual rent for the apartment on the first floor and the apartment on the second floor? - Kilograms 7343
Max and Katy together weigh 75 kg. Katy and Tina are 71 kilograms. Max and Tina 80 kilograms. How many kilograms does each of the children weigh? - Particular 7338
Two workshops of a particular company produced 25 parts a day. To have 300 pieces, one worked for ten days and the other for 15 days. How many parts did each workshop make per day? - Kindergarten 7313
The children in the kindergarten drank 20% of the prepared tea in the morning. They drank another 10% of the left tea afternoon. After the whole day, there were still 9 liters of tea left. How many liters of tea was prepared in the kindergarten in the mor
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