Equations practice problems - page 109 of 242
Number of problems found: 4829
- Combination element calculation
How many elements is it possible to form twice as many second-class combinations as a fourth-class combination? - Barrel capacity calculation
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? - Combination element count
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? - Orchard tree calculation
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? - Candy mixture price
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. - Candy mixture calculation
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? - Swing equilibrium calculation
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. - Container with water
The cube-shaped container is filled with water to half its height. If we add 20 liters of water, the company will fill the container to three-quarters of its height. What is the volume of the whole container? - Worker production calculation
Two workers produce 138 parts in one shift. At the same time, the first of them produces 30% more than the second. How many components will each have? I need a notation and an equation. - Cyclist pedestrian pursuit
Cities A and B are 42 km apart. A pedestrian exits city A at a speed of 6 km/h in the opposite direction to city B. 30 minutes later, and a cyclist exits B following the pedestrian at a speed of 24 km/h. How many hours does the cyclist reach the pedestria - Vegetable meal
The cook was making a meal - in the ratio of 4:3:1, mixing tomatoes: pepper: onion. Onions were 5 kg less than peppers. How many kgs of tomatoes did he need to prepare the meal? - Suppose
Suppose you know that the length of a line segment is 15, x2=6, y2=14, and x1= -3. Find the possible value of y1. Is there more than one possible answer? Why or why not? - Water current
John is swimming upstream. After a while, he passes a floating bottle. From that moment, he continues swimming upstream for 20 minutes. He then turns around and swims downstream. From the point where he first passed the bottle, he swims 2 km before meetin - Dormitory room distribution
A total of 17 pupils are accommodated in 5 rooms in the dormitory. Some rooms are triple, some quadruple. Determine how many pupils are accommodated in triple rooms. - Buttons
The men's shirt has nine buttons, and the blouse has three buttons. Together they sewed 60 pieces and consumed 390 buttons. How many shirts?
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