System of equations - math word problems - page 56 of 110
Number of problems found: 2182
- Sequence term calculation
Find the first term and the difference of the sequence for which it holds: a1 + a6 = 39; a10 - a4 = 18 - Oil tank distribution
There are a total of 1309 liters of oil in the two tanks. In the second, there are 4.5 times more than in the first. How many liters of oil are in each tank? - A mother
A mother is three times older than her daughter. 9 years ago, a mom was six times as old as her daughter. How old are a mother and daughter now? - The size
The sides of the trapezium are 3/4*x cm, x cm, 2*(x+1) cm and 3(x+2) cm long respectively. If its perimeter is 60 cm, calculate the length of each side. - Two Inflows Water Volume
Two hundred forty liters of water flow into the tank from 6 tributaries in 6 minutes. The wider one will flow 20 liters more in 9 minutes than the narrower one in 11 minutes. How many liters of water flow out of each inflow in 1 minute? - Peter and Paul
Peter and Paul together have 26 years. Four years ago, Paul was twice older than Peter. How much is Paul and how much is Peter? - Rod cutting lengths
We want to cut a 90 cm long rod into two parts so that the longer part of the rod is 2 cm shorter than three times the shorter part. Determine the lengths of both parts of the rod. - Tickets
One thousand two hundred sixty tickets sold. On the first day, 80% was sold, and on the second day, it was sold. How many tickets were sold first, and how much the next day? - Fruit Count Apples Pears Oranges
I have 20 pieces of fruit. How many apples when pears are nine times more than oranges? - Stamp mark difference
Rob and Mike have a total of 350 stamps. If Rob gave Misha 50 marks, Misha would have six times more marks than Rob. How many fewer marks does Rob have than Mike? - Reward money distribution
Mr. Trnka received a reward. He put half of it in the passbook, gave two-thirds of the rest to his wife, and still had € 1,200 left. How much did Mr. Trnka receive? - Three workers
The three workers received € 2,850 together for the work done. They divided it according to the time worked, so the first received 20% less than the second and the third € 50 more than the second. How much did each worker receive? - Car and motorcyclist
A car and a motorcyclist rode against each other from a distance of 190 km. The car drove 10 km/h higher than the motorcyclist and started half an hour later. It met a motorcyclist in an hour and thirty minutes. Determine their speeds. - Isosceles triangle
In an isosceles triangle, the arm's length and the length of the base are in a ratio of 3 to 5. What is the length of the arm? - Lee is older
Lee is eight years more than twice Parker's age. Four years ago, Lee was three times as old. How old was Lee 4 years ago? - Rectangular plot
The dimensions of a rectangular plot are (x + 1) m and (2x − y) m. The sum of x and y is 3 m and the perimeter of the plot is 36 m. Find the area of the plot and the length of its diagonal. - Two Numbers Square Relation
Two numbers are guessing. The second number is five times greater than the first number, and the square of the first number is equal to 3/5 of the second number. Find the sum of the two numbers and all its divisors. - Mark franc exchange
Ms. Vítovcová and Ms. Kupcová went to Paris for a few days. Mrs. Vítovcová exchanged 30 marks and 100 francs at the exchange office and paid a total of 1,200 CZK. Ms. Kupcová paid a total of CZK 1,400 for 10 marks and 200 francs. How many crowns was the m - Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle? - Cuboid Dimensions Ratio Surface
The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8 m. Find: a) the surface of
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