Equations practice problems - page 43 of 248
Number of problems found: 4950
- Rod part division
The rod was divided into three parts. The first part measured one-third of the length, the second one-third of the rest, and the third part was 20 cm. Calculate the rod's original length and the individual parts' lengths. - City baths
In the city baths, each visitor pays 100 Kč (Czech crown) for 90 minutes. With a city card, the visitor pays for the same time 50 Kč. The price of the city card is 300 Kč. Martin and Emil always go swimming together and their visit lasts exactly 90 minute - Store spending remainder
I spent a tenth in the store on vegetables and 3 times more on sweets. I have 60 euros left. How many euros did I have? - Consecutive number sum
The sum of three consecutive numbers is 18. What are the numbers? - Grandson uncle age
The grandson is 11 years old, and the uncle is 59. In how many years will the uncle be 3 times as old? - Pear apple price
The price of 1 kg of pears is 7 crowns higher than the price of 1 kg of apples. The seller sold 2 kg more apples than pears. He received the same amount for pears and apples, namely 420 CZK. How many kilograms of apples and how many kg of pears did he sel - Men money denarii
Two men talk about how much money each has. The first says to the second: If you give me 12 denarii, we will both have the same. "Second branch: If you give me 12 denarii, I will have ten times more than you. How many denarii did each of them have? - Girls pocket money Zuzana, Anna, and Eliška receive pocket money every month. They donated part - Zuzana 40%, Anna 50% and Eliška CZK 195. If we add up all 3 amounts and divide the sum by 3, the result will correspond to 4/9 of the pocket money of each of the girls. What is
- Airplane distance meeting
Two points are at a distance of 1840 km. An airplane departs from A at 7:00 a.m. and flies at an average speed of 50 km/h faster than another airplane departs from B at 8:00 a.m. At what distance from A do they meet at 9:00? - Polygon angle ratio
In a certain polygon, the ratio of the sum of the sizes of its internal angles and the sum of the sizes of the complementary angles is 2:5. How many vertices does this polygon have? - Matěj Lojza marbles
Matthew has 2 more marbles than three times the number of marbles that Louis. Both together have 18 balls. How many marbles does Louis have? - Father son ratio The father is older than the son by the ratio of 5:2. Dad is older than 33. How old are they both?
- Teddy bear age
In 10 years, the teddy bear will be three times bigger than it is today. How old is the teddy bear now? - Quatrefoil circle radius
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters. - Quadrilateral and angles
In a quadrilateral, angle α is twice as large as angle β. Angle γ is 80% of angle α, and angle δ is 30° greater than angle α. Determine the angles of this quadrilateral. - Percentage - fence
We are painting a wooden fence. On the first day, we painted one-half of the fence. The next day, we painted half of the remaining part. On the third day, again, half of the remaining part. After the third painting, we had 12.5 meters of unpainted fence l - Test grade average
One of the conditions for classification with grade 2 in geography is to obtain an average of at least 64 points from four tests. The minimum number of points a skater must receive from the fourth test to meet this condition is if she received 59, 67, or - Operation asterisk pairs
The * (asterisk) operation assigning one number to two pairs of numbers is introduced as follows: (a, b)*(c, d) = ac+bd We know that: (x,2)*(-1, v) = -1 and (2,-1)*(u, v)=5 and (u, v)*(1,1)=-2 What is (1,2)*(x, y) equal to if y=3? - Butter chocolate price
I paid 36 crowns for butter and chocolate. Butter was CZK 6 more expensive than chocolate. How much did the chocolate cost? - Favourite singers
A poll carried out among 200 students of one school found out which of the singers V. Neckář, K. Gott, W. Matuška is the most popular. It brought the following results: Gott is popular with 78 students, Matuška with 75 students, and Neckář with 101. It wa
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