# Equation - examples - page 30

1. Unknown number 10
Number first increased by 30%, then by 1/5. What percentage we've increased the original number?
2. Steamer
At 6 hours 40 minutes steamer sailed from the port at speed 12 km/h. At exactly 10 hours started sail motorboat at speed 42 km/h. When motorboat will catch steamer?
3. Divide
Divide substance 110 cm long to two parts so that it first part is 10 cm longer than the second part and one part will be 10 times longer than the second portion. How long the parts will be?
4. Trees
3/5 trees are apples, cherries are 1/3. 5 trees are pear. How many is the total number of trees?
5. Three ints
The sum of three consecutive integers is 2016. What numbers are they?
6. Pumps A and B
Pump A fill the tank for 12 minutes, pump B for 24 minutes. How long will take to fill the tank if he is only three minutes works A and then both pumps A and B?
7. Ten dices
When you hit ten dices at the same time you get average 35. How much do you hit if every time you get six, you're throwing the dice again?
8. Jam
Jar with jam weighs 800 grams. Jam weighs three times as much as the empty glass. What is the weight of jam that is in the glass?
9. Unknown number 7
16% of the unknown number is by 21 less than unknown number itself. Determine the natural unknown number.
10. Timeage
Seven times of my age is 8 less than the largest two-digit number. How old I am?
11. Sales of products
For 80 pieces of two quality products a total sales is 175 Eur. If the first quality product was sold for n EUR per piece (n natural number) and the second quality product after 2 EUR per piece. How many pieces of the first quality were sold?
12. Insert into GP
Between numbers 5 and 640 insert as many numbers to form geometric progression so sum of the numbers you entered will be 630. How many numbers you must insert?
13. Performance
Same number of tickets sold for 15 CZK, 20 CZK, 30 CZK and 40 CZK a total of CZK 13,230 on theatre performance. How many tickets were sold for this performance?
Add marks (+, -, *, /, brackets) to fullfill equations 1 3 6 5 = 10 This is for the 4th grade of the primary school - with no negative numbers yet
15. Asymptote
What is the vertical asymptote of ?
16. Triangle angles
In a triangle ABC the interior angle at the vertex C is twice as the internal angle at the point A. Outer angle at the point B measured 117 degrees. How big is the outer angle at the vertex A?
17. Mr. Happy
Mr. Happy planted 36.6 meters square gardens grass; It's a third of the garden more than half of the garden. What is square area of this garden?
18. Dwarfs
Four dwarfs would prepare firewood for Snow White in580 minutes. After an hour and a half they recruit friends so that finished preparing the wood for 280 minutes. How many dwarfs they recruited?
19. Parking
120 vehicles parking on the morning. Pasenger car is charged 20 CZK, 50 CZK per bus. The guard collected for parking 2640 CZK in total. How many cars and how many buses stood in the parking?
20. Unknown number
Determine the unknown number that is equal to a quarter of the fifth of number, which is by 152 more than unknown number.

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