System of equations + reason - practice problems - page 14 of 20
Number of problems found: 399
- Blueberries 3843
Peter, Alex, and Clara collected 112 blueberries. Peter collected two more blueberries than Clara. But Alex collected 34 less than Clara. How much does each of them collect? - Difference of two number
The difference between the two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers. - Represents 3753
Dana and Julka's numbers are different. Dana's number represents the eleventh root of Julkin's number. The sum of their numbers is 2050. Determine what number Dana has and what Julka has. - Nuts
Peter has 49 nuts. Walnuts have three more than hazelnuts and hazelnut two over almonds. Determine the number of walnuts, almonds, and hazelnuts.
- Friends
James and Jaroslav are friends. Together they had 48 toy cars. But if John had taken eight cars from Jaroslav, Jaroslav would have had 1.5 times more toy cars than James. How many toy cars had Jaroslav and James? - Daughter 3610
A mother is six times older than her daughter. The mother will be twice as old as the daughter in twenty years. How old is the mother, and how many are the daughter? - Together 3598
Adam, Boris, and Cyril have CZK 21 together. Adam and Boris together have CZK 11, and Boris with Cyrillic CZK 13. Adam has. ... ..CZK, Boris. ... ... CZK and Cyril. ... .CZK. - Russians 3596
Romania played a match against Canada. Canada won the duel by six goals. They scored a total of ten goals in the game. Find the number of goals scored by Romania. - Audience 3369
In the hockey audience between Sweden and Finland, there are 126 men, 65 boys, 46 children from Sweden, 50 children from Finland, and 200 Swedes, of which half are men and 39 women from Finland. How many people are in the audience?
- Sawmill factory
Peter works in the factory. The bus stop is 10 km from the factory. Therefore, always when the bus arrives for Peter, the driver leaves the factory and takes him to work. They are coming to the saw exactly at 8:00. Today, the bus arrived 11 minutes earlie - Subsequent 3312
We have to distribute the amount of 1200 euros to the five successful solvers of the Olympics so that the second and each subsequent one gets 50 euros less than the previous one. How many euros did each get? - Magic number
The number 135 split into two addends so that one addend was 30 greater than 2/5 the addend. - One-sixth 3279
If I had half as many nuts as I have now, I would have the same as Vendulka. If Vendulka had a third less than she has now, she would have the same size as me. If she had one-sixth less than she has and gave me that part, we would have the same amount. Ho - Grandfather 3253
Grandfather keeps 40 animals — geese, pigs, goats, and chickens—in total. There are 3 geese for every goat. If there were 8 fewer chickens, there would be as many geese and pigs combined. If Grandpa exchanged a quarter of the geese for chickens at a ratio
- Another 3251
The car drove from Liberec to Olomouc for 5 hours. Another vehicle drove 12 km more in an hour and made the same journey in 4 hours. How far is it from Liberec to Olomouc? - Together 3206
Jana, Martina, and Zuzka shared candies in a ratio of 4: 5: 3. During this division, Martina had 16 sweets less than Jana and Zuzka had together. How many candies did each of the girls have? - Donuts
At one table, Thomas, Filip, and Martin sit in the dining room. Together they eat 36 donuts. Filip ate twice as much as Thomas and Martin half over Filip? How many have donuts eaten each? - Pohádkov 3118
The brothers live in a small house with a garden in Pohádkov. The house has four times more windows than doors. There are a total of 20 windows and doors in the house. How many windows and how many doors? - Product 3108
The product of 3 numbers is 42. The first is 1.5 times larger than the second number, and the third is 3.5 times larger than the second number. What numbers are these?
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