System of equations - math word problems - page 54 of 107
Number of problems found: 2130
- Bicycle race route
The bicycle race route rises for two-fifths of its length, descends for three-eighths, and is flat for the rest. If the length of the uphill section is 4 km longer than the length of the downhill section, how long is the race route? a) 160 km b) 100 km c) - Did not use
A father, mother, three children, both grandmothers, and both grandfathers were sitting at the table. Three of the family members used a knife and fork while eating. This is exactly half of those who used a fork and exactly three quarters of those who use - Cranberries
They brought 65 kg of dried cranberries to the packing house. They made 150-gram and 200-gram packages from them. How many kilograms of cranberries did they use for the smaller 200 packages? How many 200-gram packages were there? - Teachers Salary Average
A total of 10 teachers work at one small school in Moravia. Their monthly salary is CZK 21,500, CZK 21,800, or CZK 22,500, depending on their education and age. The average monthly salary of a teacher at this school is CZK 21,850. How many teachers of thi - Pocket money savings
Zuzana receives pocket money from her parents. In October and November, she managed to save 32 euros. The ratio of cash held in October and November is 6:2. How much did she save in October and November? - Parallelogram
The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area? - School Excursion Percentage
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? - 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 older than 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 60cm, 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
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? - 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. Thus, each worker received € 2,850.
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