Reason + system of equations - practice problems - page 7 of 20
Number of problems found: 398
- Calculate 7572
At eight in the morning, a cyclist went from city K to city L. He stayed in city L for 4.25 hours and returned home at 3:00 p.m. Calculate the distance between cities K and L if the cyclist traveled to city L at a speed of 12 km/h and from city L to city - Consecutive 7556
The sum of three consecutive integers equals three times the middle number. Specify these numbers. - Circus
At the circus performance were 150 people. Men were ten less than women and children 50 more than adults. How many children were in the circus? - Collecting 7523
The four friends received money for collecting paper as follows: Mirko received a quarter of the entire amount, Robo received a third of the remaining money, and Boris received half of the second remaining money. Peter had 1.50 euros left. How many crowns - Two trains
Through the bridge, long l = 240m, the train passes through the constant speed at time t1 = 21s. A train running along the traffic lights at the edge of the bridge passes the same speed at t2 = 9s. a) What speed v did the train go? b) How long did a train - Around 7454
The same number of hens as sheep ran around the yard. They had a total of 168 feet. How many were sheep, and how many hens were there? - One-quarter 7426
There were 46 more apple trees than pear trees in the orchard. The storm destroyed one-quarter of apple trees and seven pear trees. There are 80 trees left. How many are left? - Bullets 7405
Pavol, Igor, and Kubo played bullets. They had a total of 25 marbles. Palo had 6 more bullets than Kubo at the start. Then Igor won 8 bullets from Pavol, and thus Igor had the same number of bullets as Kubo. How many marbles does Pal have left? - Kilograms 7343
Max and Katy together weigh 75 kg. Katy and Tina are 71 kilograms. Max and Tina 80 kilograms. How many kilograms does each of the children weigh? - Particular 7338
Two workshops of a particular company produced 25 parts a day. To have 300 pieces, one worked for ten days and the other for 15 days. How many parts did each workshop make per day? - Beds
At the summer camp, there are 41 chalets. Some rooms are 3 beds, some 4-beds. How many campers from 140 are living in 3-bed? - Determine 7314
The hiker went from A to B and back in 3 hours and 41 minutes. The road from A to B is first uphill, then flat, and finally downhill. A hiker walked up a hill at a speed of 4 km/h, on a flat surface at a speed of 5 km/h, and down a hill at a speed of 6 km - Compartments 7275
Tomáš has two compartments with CD-ROMs. The arithmetic average of the number of CDs in both bins is 30. If he added 10 more CDs to the first bin, there would be 1.5 times more CDs than in the second bin. How many CDs are in each compartment? - Kilogram 7162
Mom paid CZK 132.50 for the purchase. She bought bread, 5 kg apples, and three liters of milk. We know that bread costs twice as much as milk, and a kilogram of apples costs 6.50 CZK less than milk. How many CZKs did milk and bread and a kilogram of apple - Languages 7160
Out of 100 students, 30 studied German, 28 studied German, 42 learned French, eight studied German and German, 10 German and German, and 5 German and German. How many students have learned all three languages? - Filip's 7158
Filip's friend is three times younger than Filip's father. He will be two years younger. How old is Filip's friend? - Mathematical 7136
Out of 50 pupils, 44 solved at least one of the Olympiads - MO Mathematical Olympiad and BO Biology Olympiad. Twenty pupils still need to solve the MO. Of those who dealt with both Olympiads, 1/3 of those who dealt with just one were. How many pupils solv - MO Z8-I-1 2018
Fero and David meet daily in the elevator. One morning, they found that if they multiply their current age, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Fero and David. - Age
In 1960, my age was equal to the digits sum of the year of my birth. What is my age now? - The tourist
The tourist traveled 190km in 5 hours. Part of the journey passed at 5 km/h. The rest he went by bus at a speed of 60 km/h. How long has a bus gone?
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