Equation + system of equations - practice problems - page 17 of 64
Number of problems found: 1268
- Candies 46863
Pěťák has three times more candies than his friend Maťko. When Petek's brother Ferko took four candies from both, Petko had five times more than Maťko. How many candies does Petko have now? - Consecutive 46781
We get three consecutive GP members if we subtract the same number from 33, 45, and 63. Determine this GP and calculate its fifth member. - Fifty-four 46551
Three hundred fifty-four cars arrived at the parking lot in the morning. The passenger was 5X more than the vans. How many cars and vans came to the parking lot in the morning? - Kilometers 46161
Tourists missed 15% of the entire route on the first day and a fifth of the rest on the second day. They still had 34km to go. How many kilometers did they travel the next day?
- Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits, but in reverse order, we get product 3 478. Find the original number. - Truncated pyramid
The truncated regular quadrilateral pyramid has a volume of 74 cm3, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's area. Calculate the area of the upper base. - Younger 44171
Jakub is ten years younger than his brother Martin. He is a total of 24 years old. How old is Jakub? - Supermarket 44131
The supermarket reduced the price of the mathematics textbook by CZK 32. So now, 4 textbooks are CZK 8 cheaper than 3 textbooks purchased at the original price. Calculate how many CZK crowns one textbook costs before the discount. How many crowns does a t - The block
The block, the edges formed by three consecutive GP members, has a surface area of 112 cm². The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block.
- Heads and legs
There are 108 legs and 33 heads in the yard. How many chickens? How many rabbits are there? - Circumference 43531
A triangle with a circumference of 69 cm has one side three times shorter than the longest of them and the other 3 cm shorter than the longest of them. Find the area of the triangle. - Crowns 43441
Petr, Jitka, and Karel have a total of 200 crowns. Petr has five crowns more than Karel. Jitka has 2x more than Karel. How many crowns does Karel have? - Long hot dog
In Kostelec above Black Forest, they made a record-long hot dog. When he slowly moved it to the square, one of the spectators decided to measure its length: the size of his footprint was 28 cm; he measured 20 feet in the travel direction and counted 5 fee - Harry
Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Fi
- Happy marriage
Jan and Marienka have been living in a happy marriage for several years. Jan's age is written in the same numbers as Marienka, only in reverse order. Their ages differ by just a fifth of Marienka's age. Jan is older. How old is Jan, and how many are Marie - Perpendicular 41811
Calculate the area of a right triangle whose longer perpendicular is six dm shorter than the hypotenuse and three dm longer than the shorter perpendicular. - The difference 2
The difference between the two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number? - The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle. - Guilders 40991
The price for 1 acre of good land is 300 gold coins, and the price for 7 acres of bad land is 500 gold. The buyer bought a total of 100 acres for 10,000 guilders. How many acres of good and how many acres of bad land did he buy?
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