Equations practice problems - page 107 of 236
Number of problems found: 4720
- 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 3.5 miles 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, the result is 36 smaller. 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 diagonals of the three walls of a cuboid are 13, √281, and 20 units long, respectively. Thus, the cuboid's total surface area 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 a bank loan 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.
- Mixture 15903
How many kg of red candies at the price of CZK 65 per 1 kg must be added to 5 kg of blue sweets at the cost of CZK 140 per 1 kg when the price of the mixture should be CZK 120 per 1 kg?
- Hiking trail
The newly built hiking trail leads 25% through the field, 3/8 of the trail leads through the forest, and the remaining 9 km along the river. How long is the train?
- Equilibrium 15833
Two boys of masses 40 kg and 50 kg want to make a swing out of a log 3.6 m long. How far from either end must he support it, so they are in equilibrium? How can this be calculated with a single equation? And calculate the rest.
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