Equations practice problems - page 63 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
- Together 39671
Three workers were to lay the parquet floor. If everyone worked alone, the first would finish the job in 30 hours, the second in 24 hours, and the third in 20 hours. How long will they do the floor if they work together? - Unknown number
If we subtract three from the unknown number, we get just as much as if we subtract seven from the unknown number and we multiplied the result by 2. - Replied: 39523
Dalibor asks Ondra: 'Ondra, how many crowns do you have?' Ondra replied: "If I added another CZK 200 to my money, I would have six times more than now." How many crowns does Ondra have? - Determine 39503
In a right triangle, one acute angle is 20° smaller than the other. Determine the size of the interior angles in the triangle.
- Woodcutter 39491
A bark beetle attacked part of the forest. The first woodcutter would need ten shifts to clear the forest, the second 6 shifts, and the third five shifts. Calculate how many shifts the forest will take if they work together. - Tourists
Tourists hire a guide. Everyone will pay the same amount. If there are two fewer of them, they will pay 14 crowns more, and if there are three more, they will pay 14 crowns less. How many tourists are there and how much have the guides paid? - Transport 39383
The online store offers free shipping when you buy five or more products. The price of transport is 100 crowns. When you buy five products without shipping, we pay the same amount as when you buy three products with shipping included. How much does 1 piec - Find unknown 2
Find unknown denominator: 2/3 -5/? = 1/4 - Two houses
Twice as many people live in the first house as in the second house. Altogether, there are 81 of them living in both. How many people live in each house?
- The theater
The Manila theater charged ticket prices: adults php500, students php250, and children below 12 are php100. The theater collected a total of php100,000.00 from an audience of 250 people. What is a possible audience composition regarding the numbers of adu - Škoda cars
At 8:30 AM, Škoda 120 started from Prievidza at 60 km/h in the direction of Bratislava. At 9:00, started from Prievidza in the same direction as Škoda Rapid at 90 km/h. Where and when will Škoda Rapid catch up with Skoda 120? - Bratislava 39211
A bus left Žilina towards Bratislava at 9:00 a.m. at an average speed of 60 km/h. After a certain time, a Škoda Superb set off from Žilina in the same direction at a speed of 100 km/h and overtook the bus after 45 minutes. When did Škoda leave Žilina? - Revitalization 39191
Workers are building a new sidewalk while revitalizing the housing estate. Six workers will do the work in 12 days, but this is a problem because the sidewalk must be completed in 10 days to complete the work on time. How many workers must be hired to com - Avia car
Avia left Prague at 7:00 a.m. at 80 km/h. When she was near Trnava (60 km from Bratislava), a Volkswagen Passat set off on the same road from Bratislava at a speed of 120 km/h. When and at what distance from Trnava did the Volkswagen Avia catch up?
- The caravans
At 6:00 in the morning, a caravan set out of the oasis at a speed of 1.5 miles per hour. Two hours later, a second caravan followed her at 2.5 miles per hour. When did the faster caravan run slower? How far from the oasis? - Tractor vs car
Behind the tractor, which was traveling at an average speed of 20 km/h, a car started in two hours and overtook it in 1 hour. At what speed was the car moving? - Students 39121
N boys go to class. There are 13 more girls. Today 4 girls and five boys are missing. How many students in this class are in school today? - Sequences AP + GP
The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, the second 4, and keep the third, we get the geometric series. Find AP and GP members. - The family
How old is a mother if she is four times older than her daughter, and five years ago, she was even seven times older than her daughter? Today, a son is 30 years younger than a father. Seven years ago, a father was seven times older than a son. How old is
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