Equations practice problems - page 83 of 240
Number of problems found: 4793
- Simultaneously 39941
The reservoir is filled with a large pump in 20 hours, a medium in 24 hours, and a small one in 30 hours. If all pumps are switched on simultaneously, how many hours will it be filled?
- Kilograms 39911
In a luxury praline factory, they prepared 3.2 kg of a mixture of two types of candies for CZK 273 per 1 kg. Marzipan candies cost 345 CZK/kg and nougat 255 CZK/kg. How many kilograms of each type of candy were used?
- The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
- Two-fifths 39881
Jarmila bought a book for two-fifths of her money, leaving her with CZK 75. a) How much CZK did Jarmila initially have? b) How much did the book cost?
- Five-twelfths 39871
Five-twelfths of the students in the class learn English, a third learn German, a sixth learn French, and two students learn Spanish. How many students are in the class, and how many languages are they learning?
- Installments 39841
I received 30 euros in 7 installments, each installment being in whole euros. How many ways could this happen? What if the installments can be even 0 euros? How many possible solutions will there be?
- 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
- Excursion
Two classes with different numbers of students are going on an excursion. If one larger bus for 50 passengers is ordered, 3 seats would be missing. If each class were to travel alone in a smaller bus for 33 passengers, there would be 8 seats available in
- 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 php 500, students php 250, and children below 12 are php 100. The theater collected a total of Php 100,000.00 from an audience of 250 people. What is a possible audience composition regarding the numbers of
- Škoda cars
At 8:30 AM, car Škoda 120 started from Prievidza at 60 km/h toward Bratislava. At 9:00, we 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
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