Equations practice problems - page 84 of 211
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: 4211
- Consecutive 18083
The sum of five consecutive even numbers is 40. Find these numbers. - Heavy-duty 17941
The railroad workers carried five loads with five heavy trains than ten standard trains. What is the weight of a heavy-duty train if it is 2,200 t heavier than a standard train? - Double-performance 17931
Excavation work was carried out by nine double-performance machines, which excavated 420 meters of excavation in one day. How many were there if the more powerful machine excavated 420 meters in a week (7 days) and the less powerful engine excavated 280 m - Determine 17901
Determine the product's original price, which, after an increase of 20%, costs 90 CZK. - Purchased 17851
The school purchased 80 flower pots with a total value of CZK 2,832. Smaller flower pots were 32 CZK each, larger 40 CZK. How many were there? - Simultaneously 17821
The reservoir is filled with the first pump in 30 hours, the second in 24 hours, and the third in 20 hours. How long does it take to fill the reservoir if all pumps are switched on simultaneously? - Increased 17813
The price of one meter of fabric increased by CZK 40, so three meters for the new fee were CZK 60 cheaper than four meters for the original price. What was the original, and what was the new cost of the substance? - Fourth-week 17783
They earned CZK 113,400 in the shop in four weeks. The first and fourth-week sales were the same, the second week 10% higher than the first week and the third week 5% lower than the first week. How much did they earn each week? - Tourist cottage
The tourist cottage has 11 rooms for 16 guests. Some of them are doubles, some singles. How many are double rooms and how many are single rooms? - One-fifth 17753
The store stacked two hundred boxes of washing powder in three piles. There were 13 more boxes in the first pile than in the second pile, one-fifth more in the second pile than in the third pile. How many boxes were in which pile? - Expensive 17743
The street vendor offered 60 shirts of two types at a total price of CZK 27,300. Cheaper shirts cost 420 CZK, more expensive 480 CZK. How many were there? - Removed 17713
The miner removed 135 carts of coal in 5 days so that the next day he removed three carts of coal more. How many carts did he drive on the first day? - Two gardens
The total area of the two gardens is 864 m². The first garden is 60 m² smaller than three times the second garden. What is the area of each garden? - Twenty-eight 17673
Twenty-eight children participated in the Pythagorean school round. The number of children who ranked only behind Rasťo was twice as large as the number of children who were more successful than Rasťo. How many places did Rasťo finish? - Twelve ties
The price of 12 ties before the discount was the same as 15 ties after the discount. Calculate the price of 1 tie after the discount if you know that the discount price of one tie fell by 40 CZK. - Harvested 17623
The farmer managed to increase wheat yield per hectare by 0.4 tons by improving the soil, so he harvested 140 tons of wheat from 25 ha. What was the original yield per hectare? Please round the result to one decimal place. - Banknotes 17573
The eldest sister saved CZK 7,800 in the bank. She brought this amount only in 100CZK and 200CZK banknotes. The total number of these banknotes was 50. How many banknotes of both values were there? - Multiplied 17563
John thought about the number. He multiplied it by four and added 18 to the result. The result was ten times the number 8. Which number did Honza think? - Circumference 17533
If we enlarge the side of the square by half, its circumference will be 24 cm larger than the original. What is the side of the square? - One-quarter 17483
The cloth package was stained black: one-third and one-quarter black, the remaining 8 meters gray. How many meters of cloth was in the box?
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