System of equations - math word problems - page 58 of 107
Number of problems found: 2130
- Dual increases
The two numbers are in the ratio of 5:6. If the first one decreases by ten, and the second one increases by ten, then these two numbers are in the ratio of 4:7. What are the numbers? - Chocolate Boxes Weight
They delivered 75 kg of chocolates to 214 candy boxes at the Orion plant. Some weighed 500g, others 250g. How many boxers were there? - Number summand division
Divide the number 135 into two summands so that one summand is 30 greater than two-fifths of the other summand. - Orchard tree storm
There were 46 more apple trees than pear trees in the orchard. The storm destroyed one-quarter of apple trees and seven pear trees. There are 80 trees left. How many are left? - 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 - Marble game distribution
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? - Two Numbers Product Constant 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?
- Wallet Banknotes Count
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?
- Rubber ball purchase
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? - Number summand division 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? - Children weight puzzle
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.
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