System of equations - math word problems - page 92 of 110
Number of problems found: 2182
- Ascent and descent
The car goes 114 km of track, consisting of ascent and descent at 1 hour 35 minutes. When climbing, it moves at the speed of 48 km/h and downhill at 25 m/s. What is the length of the climb and descent? - Numbers at ratio
The two numbers are in a ratio of 3:2. If we each increase by five would be at a ratio of 4:3. What is the sum of the original numbers? - Rectangle area
The circumference of the rectangle is 22 cm, and one side is 3 cm shorter than the other. What is the area of this rectangle? - Three equations
Solve the following set of equations with three unknowns. 3x + 2y + 3z = 110 5x-y-4z = 0 2x-3y + z = 0 - Grandchildren ages
When asked: "How old are your two grandchildren?" the grandfather answers: "If I add their sum to the product of their ages, I get 14." How old are the grandfather's grandchildren? Consider only whole years. - Groschens
The young journeyman bought a cloak, hat, and galoshes. He paid 200 grosz for everything. A cloak costs 90 groschen, more than a hat, and a hat with a cape costs 160 groschen, more than a galoshes. How much groschen did the cloak cost, and how many hats a - Tatra
A tourist climbed from a hut at an altitude of 1,367 m above sea level to the top of a Tatra peak. The trip there and back took him 6 hours and 20 minutes. What is the altitude of the mountain peak if the tourist climbed at 300 metres per hour going up an - Number sequence
Five natural numbers are given, each of which is a triple of the previous one. The largest number is bigger by 1152 than the middle number in this series. From these five numbers, determine the first number. - Number sum
The sum of the two numbers is 13. The third of the first number is three. What are the numbers? - Pears and cherries
Pears and cherries grow in the orchard. There are a total of 510 trees. Half of all cherries and a quarter of pears are just as many as all cherries. How many pears and how many cherries? - Chickens and kittens
There were chickens and kittens in the grandmother's yard. George found that if she added one more kitten, the number of kittens and chickens would be the same. But if she added five chickens to the original number, the kittens and chickens would have the - Family ages
Dad, mom, and daughter are 100 years old. A father is four times as old as a daughter. Mom is ten years older than half the father and daughter. How old are they? - Chickens and hares
Old mom keeps chickens and hares. He has five times more hens than hares. Boris calculated that all animals have a total of 210 feet. How many hares and how many hens does my grandmother have? - Number ratio
Determine the three numbers that are in the ratio 1:2/3:3/4, and the sum of the first two equals the smallest three-digit number. - Dice points
Three dice throw a total of 12. Green has two times more than red. Blue is two times less than green. How many points are on each cube? - Wall tiling
The tiler covered 3/5 of the wall with tiles in two hours and 45 minutes. How long did it take to complete the entire lining area at the same power? How long did the whole job take him? - Two numbers The sum of two numbers equals 840. The first number makes up 40% of the second number. Specify both numbers.
- Martin and Pavol
Twelve years ago, Martin was three times older than Pavol. Now, Martin is twice as old as Pavol. How old is Martin now, and how old is Pavol? - Age difference
Milo and George are a total of 56 years old. Milo is eight years younger than George. Please find out how old each of them is. - Plum basket
There were plums in the basket. They doubled their number and then took 8 plums. They doubled the number of plums left in the basket again and took 8 plums. They doubled the number once more and took 8 plums. Then, there was no plum left in the basket. Ho
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