Equations practice problems - page 86 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: 4215
- Beginning 16773
In the beginning, there are two boys and x girls. Then another three children will come to the class. In the end, there are three times fewer boys than girls. How many girls and boys are in the class - Cleared 16683
The scouts decided to clean up the stream outside the town. On the first day, they cleared half of the total length of the stream. On the second day, 2/7 of the entire length. On the third day, they cleared a third of what was left, and on the fourth day, - Three-sevenths 16643
Mom baked pancakes and put them on a plate. After Mišo had eaten three-sevenths of them, his brother Peťo came and took three-quarters of the pancakes from the plate. In the end, Jana finished the remaining 7 pancakes. How many pancakes did mom bake? - Kindergarten 16593
The kindergarten purchased 40 chocolates of two types. Dairy is sold after 16 CZK per piece, and hazelnut after 11 CZK per piece. They paid a total of CZK 565. How many chocolates were there?
- Runners
If John has a running speed of 3.5miles per hour and Lucy has a speed of 5 miles per hour. If John starts running at 10:00 AM, and Lucy starts running at 10:30 AM, what time will they meet? (as soon as possible) - Reduced 16533
Which number reduced by a third is equal to 36? - Two-digit 16413
The sum of the digits of a two-digit number is 8. If we change the order of the digits, a number 36 smaller is the result. Find this number. - Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p? - Growth of wood
The annual growth of wood in the forest is estimated at 2%. In how many years will make the forest volume double?
- Aircraft angines
The aircraft's two engines are enough to supply the fuel for five hours of operation. However, one of the engines has malfunctioned and thus consumes one-third more fuel. How long can the plane be in the air before it runs out of fuel? After an hour of ma - Combinations 16283
How many elements is it possible to form twice as many second-class combinations as a fourth-class combination? - Capacity 16253
The barrel is filled with water to 65% of its capacity. After adding three 10-liter buckets of water, the filling capacity of the barrel is already 77%. How many liters of water will fit in the barrel? - Combinations 16213
From how many elements is it possible to create 120 second-class combinations? - Three faces of a cuboid
The diagonal of the three faces of a cuboid are 13,√281, and 20 units. Then the total surface area of the cuboid is.
- Mortage hypo loan
The Jonáš family decided to buy an older apartment, which cost EUR 30,000. They found EUR 17,000 and took the loan with the bank for the remaining amount. What interest did they receive if they repaid this amount for 15 years at EUR 120 per month? - Two-fifths 16103
The orchard contained 50% cherries, two-fifths apple trees, and five pear trees. How many trees were there? - Water container
The cube-shaped container is filled to two-thirds of its height. If we pour 18 liters, it will be filled to three-fifths of the height. What is the volume of the whole container? - Alcohol mixing
How much must 64% of the alcohol be poured into 6 liters of 85% alcohol to produce 79% alcohol? - Weighing 15943
A bag of red candies weighing 200 g is sold for CZK 18, and the same amount of blue candies for CZK 12. Create a mixture of sweets for CZK 8 per 100 g.
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