System of equations - math word problems - page 30 of 107
Number of problems found: 2130
- 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. - Acid mixture
How many grams of 70% and 45% acid must be mixed to form 300 grams of 60% acid? - Number ratio division
Divide the number 20 into two parts so that the first part is four times larger than the second. What is the ratio? - Arithmetic sequence AP
Determine the arithmetic sequence. a3 + a4 = 10 a2 + a5 = 11 - Brother age
Jakub is ten years younger than his brother Martin. He is a total of 24 years old. How old is Jakub? - Organizers 2
The organizers of the concert sold tickets for a total of 18,000 CZK. The seats in the auditorium are divided into two differently priced sectors. A ticket in the 1st sector costs 500 CZK. A total of 300 people attended the concert, with 60 fewer people i - Textbook price
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 - An engineer
An engineer and five technicians on an oil rig earn $14208 per month, while three engineers and nine technicians earn $28800 per month. Find how much an engineer earns and how much a technician earns per month. - 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. - THE FARM
Hens, goats, and three cows grow on the farm. All animals have a total of 19 heads and 56 legs. How many goats live on the farm, and how many hens live on the farm? - The painter
The painter lived to be 82 years old. In the 20th century, he lived 32 years longer than in the 19th century. In what year was he born? - Heads and legs
There are chickens and rabbits in the yard. Together, they have 108 legs and 33 heads. How many chickens are there? How many rabbits are there? - Photos
Three friends, Mirka, Lucka, and Hanka, collect photos. If Mirka had three more photos, she would have as many as Hanka. If Lucka had five photos less than she has, she would be like Hanka. How many photographs does each have if they have 431 together? - Triangle area
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. - They bought
They bought the students a set of notebooks for 65 euros. The first set cost € 2 and the second € 3. There were five times as many two-euro as three-euro sets. How many sets of workbooks are there? - Money distribution
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? - 1200 screws
1200 screws are to be divided into three groups so that in the 1st group, there are 300 screws more than in the 2nd group, and in the 2nd group, 150 screws less than in the 3rd group. How many screws will be in each group? - Lcm to eliminate y
Identify the least common multiple that would eliminate the y-variable. 6x - 5y = -4 4x + 2y = 28 - Six hens
Six hens weigh 3 kg more than three geese and 7 kg less than five geese. How much does a hen weigh, and how many geese? - 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
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