Equations practice problems - page 27 of 247
Number of problems found: 4940
- MO Z7 2025
Adela and Susan ate plums. On the first day, Adela ate three quarters of what Susan ate that day. On the second day, Susan ate three halves of what Adela ate that day. Together, they ate 31 plums over the two days, and each girl ate a whole number of plum - From tank 2
First, 1/3 was drained from a water tank, then 1/4 of the remainder was drained. There were 20 litres of water left in the tank. How many litres were in the tank at the beginning? - Left-handed
There are 100 people in a room, 99% of whom are left-handed. How many left-handed people must leave the room to reduce this proportion to 98%? - Peter 27
Peter earned twice as much as Jano from his part-time job. Jano earned €50 less than Peter. How much did each of them earn? - Segments on the hypotenuse
A right triangle ABC has a hypotenuse c = 26 cm. The altitude from C to the hypotenuse is h_c = 12 cm. What are the lengths of the two segments of the hypotenuse? What are the lengths of sides a and b? What are the angles at vertices A and B? - Thinking unknown n
I am thinking of a number. If I subtract 14 from it and multiply the result by 6, I get 210. What is the number? - Adding Sixths to Thirds
How many sixths must be added to two thirds to get four quarters? - Finding Total Journey Length
We have already travelled 2/5 of the journey, which is 6/35 km. How long is the entire journey? - Oranges and apples
Mr. Novák bought 5 times more oranges than apples. One orange cost 8 CZK and one apple cost 12 CZK. He paid 156 CZK in total. How many oranges and apples did he buy? - Given is
The circle is given by the equation x² + y² − 4x + 2y − 11 = 0. Calculate the area of the regular hexagon inscribed in this circle. - Triangles - combinations
How many different triangles with sides of whole centimetres have a perimeter of 12 cm? - Employees in a company
A company with 326 employees decided to build a parking lot for employees. In the parking lot design there are 84 parking spaces for cars. Each parking space for cars can be replaced with 3 parking spaces for motorcycles. Calculate the total number of veh - Determine 23
Determine in cm² the area of rectangle ABCD, whose longer side is a = 20 cm and whose diagonal is 10 cm longer than its shorter side. - Semicircles
In a rectangle with sides of 4 cm and 8 cm, there are two different semicircles, each with its endpoints at adjacent vertices and touching the opposite side. Construct a square such that two of its vertices lie on one semicircle, the other two vertices li - Angles alpha 2
Angles alpha and beta are supplementary. Calculate their sizes if angle alpha is 50 degrees less than angle beta. - Acceleration - free fall
How long will it take for a car to reach a speed of 180 km/h with an acceleration of 10 m/s²? - Rhombus - ratio
In a rhombus, the ratio of a side to the height drawn to that side is 4:1, and its area is 49 cm². Calculate the length of the side and the height drawn to that side. - Swimming pool 5
There are 5,500 men, women, and children at a swimming pool. There are twice as many women as men, and four times as many children as women. How many men, women, and children are there at the swimming pool? - Mirka 2
Mira is saving for a bicycle. She already has €336, which is 1/5 more than half the price of the bicycle. How much does the bicycle cost? - Laboratory
In a laboratory, twelve litres of 80% alcohol were to be diluted to produce 40% alcohol, and then further combined to make a final 70% alcohol solution. A five-litre barrel of 40% alcohol was available. How much of the 40% alcohol will remain in the barre
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