Equations practice problems - page 78 of 212
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4234
- Production 23461
The cost of production of a particular product decreased first by 15% and then by 10% of the new amount. After this reduction, it cost CZK 153. What were the original production costs? - Tourist route
How long is the tourist route when tourists crossed four-sevenths of the way on foot, crossed the bus twice less than on foot, and passed the last 14 kilometers by boat? - Unknown 23401
27% of the unknown number is 12 fewer than 33% of the same number. Find an unknown number. - Interior angles
Calculate the interior angles of a triangle that are in the ratio 2:3:4.
- Tournament 23371
The goalkeeper caught 188 shots during the tournament and achieved a success rate of 94%. How many shots per goal ended up in the net? - Magnitude 23271
In an isosceles triangle, the angle at the primary vertex is 20 ° smaller than twice the magnitude of the angle at the base. What are the interior angles of a triangle? - Consecutive 23251
Find the LCM of four consecutive natural numbers. Its sum is 42. - The farmer
The farmer calculated that the supply of fodder for his 20 cows was enough for 60 days. He decided to sell two cows and a third of the feed. How long will feed the rest of the peasant's herd last? - Calculated 23231
There are 80 screws in the box with a total weight of 1.24 kg. The weight of one screw weighs 400g. Screw weight calculated in grams
- Together 23211
Lenka is three times younger than her brother Lukas; they are 20 years old. How old is Lenka, and how many are Lukas? - Brother 23201
Karel would rake the leaves in the garden alone in 24 minutes. His younger brother would take 30 minutes. How long would they dig a garden if Karel digs alone for 6 minutes and his brother comes to his aid? - Academy 23151
There are 180 pupils in the 1st year of the academy. There are seven girls for every five boys. How many girls are there in the year? - Determine 23131
Determine x in the ratio: 200:6 = x: 400 - The coal
The coal stock would be enough to heat a larger room for 12 weeks and a smaller one for 18 weeks. It was heated for four weeks in both rooms, then only in a smaller one. How long was the coal stock enough?
- Chocolate and biscuit
Chocolate is twice as expensive as a biscuit. It costs CZK 8 more. How much is chocolate, and how much is a biscuit? - The four
The four pirates divided 65 coins into each other. They were sorted by age, the youngest receiving the least number of coins, each half more than the previous one. How many coins did the oldest pirate receive? - In a
In a triangle, the aspect ratio a: c is 3: 2, and a: b is 5: 4. The perimeter of the triangle is 74cm. Calculate the lengths of the individual sides. - Digging
The first worker would dig a trench in 6 hours. For the second, the same work would take 4 hours. How long did it take for the trench to be dug if they worked together? - Seven
Seven dwarfs will cut 420 stumps in 15 hours. After five hours, the two dwarves disappear discreetly. How many hours will the remaining dwarves complete the task?
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