System of equations - math word problems - page 54 of 107
Number of problems found: 2125
- Opportunity 7908
The school director announced that of the 250 children attending the school, every fifth student has the opportunity to participate in the excursion. Then 18% of boys and 23% of girls went on an excursion. Determine how many boys and how many girls attend - Company and employees
There are 370 employees in the company - women are 15% less than men. How many men work in the company? - Difference 7873
Find the first term and the difference of the sequence for which it holds: a1 + a6 = 39; a10 - a4 = 18 - Liters 7869
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 older than her daughter. How old are a mother and daughter now? - The size
The size of a Trapezium are 3/4*x cm, x cm, 2*(x+1) cm and 3(x+2) cm long respectively. If its perimeter is 60cm, calculate the length of each side. - Tributaries 7857
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? - Determine 7836
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? - Oranges 7824
I have 20 pieces of fruit. How many apples when pears are nine times more than oranges? - Stamps 7819
Robo and Mišo have a total of 350 stamps. If Robo gave Misha 50 marks, Misha would have six times more marks than Robo. How many fewer marks does Robo have than Mišo? - Two-thirds 7811
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. Thus, each worker received € 2,850. - Car and motorcyclist
A car and a motorcyclist rode against each other from a distance of 190 km. The car drove 10km/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
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. If the sum of x and y is 3m and the plot's perimeter is 36m. Find the area of the diagonal of the plot. - Divisors 7779
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. - Vítovcová 7776
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
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