System of equations + reason - practice problems - page 15 of 20
Number of problems found: 398
- Grandfather's 2876
To the question: How old are your two grandchildren? The grandfather answers: if I add their sum to the product of the numbers that determine their age, I get 14. How many years have grandfather's grandchildren? Think only for 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 - Determine 2860
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. - Points 2836
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?
- Complete 2833
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? - Originally 2822
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 - Lemonades 2816
Three cakes and two lemonades cost € 3 and 21 cents. Three cakes and three lemonades cost € 3 and 99 cents. How many cents does one cake cost, and how much does one lemonade cost? - Creases 2795
Three punch cuts cost as much as two creases. How much does it cost if five punch cuts cost 2 euros 50 cents? - Together 2780
Vlasta, Zuzka, and Vierka shared the reward in the ratio of 2:8:5. Zuzka and Vierka had 160 euros together. How old was Vlasta?
- Octopuses 2755
Both octopuses have 112 tentacles. The pink octopus has 20 tentacles less than the yellow. How many tentacles does a pink squid have, and how many tentacles does a yellow squid have? - Multivitamin 2749
We paid a total of 290 CZK for 5 liters of orange juice and 6 liters of multivitamin juice. A liter of multivitamin juice is CZK 8 more expensive than a liter of orange juice. How much do we pay for 2 liters of orange and 3 liters of multivitamin juice? - Properties: 2736
Find four numbers whose sum is 48 and which have the following properties: if we subtract 3 from the first, add 3 to the second, multiply the third by three, and divide the fourth by three, we get the same result. - Brothers 2726
The three brothers are 42 years old together. John is five years younger than Peter. Peter is two years younger than Michael. How old are they? - Men, women and children
On the trip went men, women, and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus had a revenue of 4,200 crowns?
- Forth and back
Car drive from point A to point B at a speed of 78 km/h and back at 82 km/h. If I went there and back at a speed of 81 km/h journey would take five minutes less. What is the distance between points A and B? - Landlord
The landlord had 49 ducats more than Jurošík. How many ducats Jurošík steal landlord if the Jurošík now five ducats more? - Two trains meet
From A started at 7:15, express train at speed 85 km/h to B. From B started the passenger train at 8:30 in the direction to A and at a speed of 55 km/h. The distance A and B are 386 1/4 km. At what time and at what distance from B do the two trains meet? - Classmate 2613
Juro didn't have a watch, so he asked a classmate for the exact time. Simon looked at the clock and said: "If my watch were 22 minutes late, it would be 11:54. But it's not that much because my watch doesn't miss; it goes 22 minutes ahead". What time was - Banknotes
$ 1390 was collected. How much was in $20 notes, and how many in $50 notes in that order? How many solutions exist?
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