# Reason - examples - page 8

1. Family and age ratios
Age of father and son are in the ratio 10:3; age of father and daughter are in the ratio 5:2. How old is father and son, if daughter is 20 years old? In what ratio is age sister and brother?
2. Party
At party overyone clink with everyone. Together, they clink 171 times. How many people were at the party?
3. Rectangle
The perimeter of the rectangle is 22 cm and content area 30 cm2. Determine its dimensions, if the length of the sides of the rectangle in centimeters is expressed by integers.
4. Trains for people
It is said that the train is synonymous to delay. Calculate the average speed of travel by train long 19 km, with regular train leave at 5:47 and arrive at 6:13, but train is late and has departure at 9:01 and arrive at 9:25.
5. Lines
In how many points will intersect 14 different lines, where no two are parallel?
The Slovakia circulates a lot of myths, particularly ideas about what must be free. For example - education should be free - children of poor parents should know at least read and write. Calculate how much a student would have to pay per hour of teaching,
7. Salary
Calculate equivalent annual salary to hourly salary \$ 19. Assume a 42-hour work week.
8. Circle
Circle is given by centre on S[-7; 10] and maximum chord 13 long. How many intersect points have circle with the coordinate axes?
9. Family
Martin has just as brothers as sisters. His sister Jana but has 2 times more brothers than sisters. a) How many children are in this family? b) How many boys and how many girls are in the family?
10. Tesco Clubcard
Bernard got on a quarterly billing vouchers for Tesco ClubCard taking goods worth 2.3 Eur. Calculate how much per month on average in Tesco bought goods. Tesco ClubCard worksfor every Euro spent you get one ClubCard point that will be converted to 1 e
Gastro ticket are "free" and therefore they should be retained. This think many employees in Slovakia. Calculate how much money employee yearly earn if he get 201 gastro tickets of 2.8 € and you know that the company issuing gastro tickets get 4.9% fee of
12. Five girls
Five girls traveling by bus. Each holds in each hand two baskets. In each basket are four cats. Each cat has three kittens. Two girls exits bus. How many legs are in the bus?
Grass grows in the meadow equally fast and evenly. It is known that 99 cows graze meadow for 14 days and 95 cows by 22 days. How many cows graze meadow for 77 days?
14. Monty Hall
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. W
15. Lottery
The lottery is 60000 elk in which 6200 wins. What is the probability that the purchase of 12 elks won nothing?
16. Baker
The baker makes from 10 kg of flour 12 kg dough. How much flour he need to make a 100 kg dough?
17. Rope
One half of rope use Mam for packaging, half of the rest got son, half of the rest he took father and two fifths of what remained, got daughter. Remained 143 cm of rope. How long was rope at the beginning?
18. Carpet
The room is 10 x 5 meters. You have the role of carpet width of 1 meter. Make rectangular cut of roll that piece of carpet will be longest possible and it fit into the room. How long is a piece of carpet? Note .: carpet will not be parallel with the diag
19. Three drivers
Three driversdriving the same direction found that they have same amounth of gasoline. The first is enough to go 6 km, 4 km second and third 3km. Gasoline they divided so all three just drove to the nearest petrol station. How many km away was a petrol sta
20. Father and son
Father is three times older than his son. 12 years ago father was nine times older than the son. How old are father and son?

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