Reason + system of equations - practice problems - page 6 of 20
Number of problems found: 398
- Big family
A certain number of people met at the family celebration - their average age was three times the number present. Then came my grandfather, who was 75 years old, and the average age was again three times the number present. How many people are celebrating - Dog price
Tereza agreed to get a dog and 6000 crowns a year for help in a dachshund breeding station. After eight months, she had to finish work and got a dog and 2000 crowns. What price does a dog have? - Hares and pheasants
After the hunt, hares and pheasants lie in the field. There are a total of 80 heads and 190 feet. How many hares and how many pheasants? (please without equations) - Employees 8068
One thousand employees work in the company. At the end of the year, 10% of all men and 20% of all women received bonuses. Thus, the company rewarded 14% of the total number of employees. How many men and women work in the company? - Luggage and air travel
Two friends traveling by plane had a total of 35 kg of luggage. They paid one 72 CZK and the second 108 CZK for being overweight. If only one paid for all the bags, it would cost 300 CZK. What weight of baggage did each of them have? How many kilograms of - Sum and ratio
The sum and ratio of two numbers are equal to 10. Which numbers are they? - Cows and calves
There are 168 cows and calves in the cowshed. Cows are in nine stalls, and calves are in four stalls. The same count of cows is in every cow stall and three more in each calf stall than in a cow stall. What is the capacity of the stalls for cows and what - Self-counting machine
The self-counting machine works exactly like a calculator. The innkeeper wanted to add several three-digit natural numbers on his own. On the first attempt, he got the result in 2224. To check, he added these numbers again, and he got 2198. Therefore, he - Together 8007
Sylva and Šárka have 20 CZK together. If Sylva gives Šárka 6 CZK, they will have the same. Sylva has how many more CZK? - Three-member 8005
There were a total of 50 teams in the competition. Eight teams were four-member, the rest three-member and two-member. How many teams were three-member when 134 people took part in the competition? - Candies
In the confectionery, the price for 1 kg of pistachio candies cost CZK 360, and the price for 1 kg of hazelnut candies was CZK 280. Mixing these two types of sweets created a box of chocolates. How many grams of pistachios and hazelnut candies were in the - Rabbits 7948
Hens and rabbits, 22 heads and 62 feet, run around the garden. How many? - Education 7919
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 - Oranges 7824
I have 20 pieces of fruit. How many apples when pears are nine times more than oranges? - Two-fifths 7764
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? - Together 7735
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? - Calculated 7733
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? - Distributed 7694
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? - Quadruple 7654
Triple and quadruple rooms are available in the cottage for 30 children. Rooms are occupied so that all beds are always occupied. Determine how many rooms the children will occupy in total if there are four times as many children in the four-bedroom rooms - Two cities
The car goes from city A to city B at an average speed of 70 km/h and back at an average speed of 50 km/h. If it goes to B and back at an average speed of 60 km/h, the whole ride will take 8 minutes less. What is the distance between cities A and B?
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