System of equations - math word problems - page 31 of 110
Number of problems found: 2182
- Eva sister age
Eve has a sister who is four years older. Ten years ago, she was twice as old as Eve. How old is Eve now? - Two similar
There are two similar triangles. One has a circumference of 100 cm, and the second has sides successively 8 cm, 14 cm, and 18 cm longer than the first. Find the lengths of its sides. - 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. - Czech coins
John has 540 CZK, but he only has 10 and 20 CZK coins. We know that he has 10 CZK coins, seven times more than 20 CZK coins. How many 10CZK coins and how many 20CZK coins did he save? - A number 4 A number is made up of two digits. The sum of the digits is 11. if the digits are interchanged, the original number increases by 9. Find the original number
- Number summand division
Express 68 as the sum of two different positive integers. If you divide the larger by the smaller, do you get exactly 3? - 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 Jacob is ten years younger than his brother Martin. He is a total of 24 years old. How old is Jacob?
- Organizers 2
The organizers of a concert sold tickets for a total of 18,000 CZK. The seats in the auditorium are divided into two differently priced sections. A ticket in section 1 costs 500 CZK. A total of 300 people attended the concert, with 60 fewer people in sect - 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
A farm has hens, goats, and 3 cows. All animals together have 19 heads and 56 legs. How many goats and how many hens are 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, Miranda, Lucy, and Hannah, collect photos. If Miranda had three more photos, she would have as many as Hannah. If Lucy had five photos less than she has, she would be like Hannah. How many photographs does each have if they have 431 togethe - Triangle area
A triangle with a perimeter 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.
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