System of equations - math word problems - page 55 of 107
Number of problems found: 2130
- 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. - 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 2.8m. Find: a) the surface of - Test Grades Distribution Students
No one got a grade worse than three. A third of the class got one, two-fifths two, and eight students had three. How many students had one or two? - Two number difference The difference between the two numbers is -85. Their sum is 89. Determine these numbers.
- Two Typists Pages Written
The two typists wrote a total of 65 pages; although the former wrote an hour longer than the latter, she wrote 5 pp. Less; the second write 2 more pages per hour than the first. How many pages will they both write together? - Stable people count
There are nurses and horses in the stable. Juraj calculated that they have 11 heads and 36 all legs. How many people are in the stable? - Age comparison puzzle
Five years ago, Adam was seven times more than Peter and ten years more than Peter. How old is Adam older than Peter? - Two cyclists 2
At the same time, two cyclists left towns A and B at constant speeds. The first one goes from town A to town B, and the second one from town B to town A. At one point during the trip, they met. After they met, the first cyclist arrived at town B in 36min, - Bucket Water Weight Empty
A full bucket of water weighs 10kg. Half weighs 5.5 kg. How much does a bucket weigh? - Red and White Marbles
There are only red and white marbles in the bag, and precisely 18% of the marbles in the bag are red. After removing 25 white balls, exactly 20% of the balls in the bag will be red. How many balls are there? Thank you very much for your help - Glider Motorplane Chase Time
The glider took off from the airport at 10:00 a.m. and flew to the designated destination 102 km away at a speed of 80 km/h. Half an hour later, a motorplane took off behind him at a speed of 180 km/h. When does the motor plane catch up with the glider, a - Card distribution ratio
The children have 568 cards distributed as follows: Jano and Mišo in the ratio of 3:7 and Mišo and Laco in the ratio of 3:5. How many cards does Mišo have? - Legs
Cancer has five pairs of legs, and the insect has six legs. Sixty animals have a total of 500 legs. How much more are cancers than insects? - Grade pupil comparison
There are 2 more pupils in the 7th grade than in the 8th grade. If the number of pupils in the 7th grade increased by 7 and the number of pupils in the 8th grade increased by a third of the original number, there would be the same number of pupils in both
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