System of equations - math word problems - page 58 of 107
Number of problems found: 2125
- 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?
- Shareholders years
360 people with voting rights were present at the shareholders' meeting. There were 104 votes more than against a specific proposal. How many shareholders favored the proposal, and how many were against it?
- 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 are 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
- Pooja
Pooja and Deepa's age is 4:5, and four years ago, it was 8:11. What is Pooja's age now?
- 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 weigh 75 kg together, Katy and Tina weigh 71 kilograms, and Max and Tina weigh 80 kilograms. Thus, each of the children weighs 75 kilograms.
- Non linear eqs
Solve the system of non-linear equations: 3x²-3x-y=-2 -6x²-x-y=-7
- 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?
- Beds
At the summer camp, there are 41 chalets. Some rooms are 3 beds, some 4-beds. How many campers from 140 are living in 3-bed?
- Michal 7323
Uncle Josef is three times as old as Michal. Twelve years ago, Josef was nine times older than Michal. How old are they now?
- Determine 7314
The hiker went from A to B and back in 3 hours and 41 minutes. The road from A to B is first uphill, then flat, and finally downhill. A hiker walked up a hill at a speed of 4 km/h, on a flat surface at a speed of 5 km/h, and down a hill at a speed of 6 km
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