Equations practice problems - page 64 of 212
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: 4228
- 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 - Two companies
Company A can fulfill the order in 12 days, and company B the same order in 18 days. How many days will the order be fulfilled if only company A works on it for the first two days, then the remaining days for both companies? - Alcohol solutions
We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of which ones will we use in the solution? - Trees
Two-fifths of the trees in the orchard are apple trees, one-sixth a pear. The remaining 26 trees are cherries. How many pears are in the orchard?
- The stadion
John can run around a circular track in 20 seconds and Eddie in 30 seconds. Two seconds after Eddie starts, John starts from the same place in the opposite direction. When will they meet? - The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Rotary cylinder
In the rotary cylinder it is given: surface S = 96 cm² and volume V = 192 cm cubic. Calculate its radius and height. - Two grandmothers
Two grandmothers went to the market to sell eggs, and they had 100. When they sold all the eggs, they made the same money. The first grandmother said to the second, "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmother replied - Calculate 38563
Six equally powerful machines produce 870 parts in 14 hours. Calculate in how many hours 870 parts will have four such machines.
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