Equation + system of equations - practice problems - page 14 of 64
Number of problems found: 1263
- Prepared 66494
Benches were prepared around the fire. When seven tourists sit on them, one tourist will sit alone on the last bench. When six of them all sat down, one had to stand. How many tourists were at the campfire if we know there were less than 100, and how many - Participants 66454
The department consists of 80 children and adults. The camp cost them a total of 116,400 CZK. Each child paid 1200 CZK and each adult 1800 CZK. How many adult participants were there, how much did the children pay for the camp, and who paid more money for - Perimeter 66414
The perimeter of triangle ABC is 162 dm. The lengths of its sides are in the ratios a:b = 2:3 and a:c = 8:7. Determine the lengths of the sides of the triangle. - Earlier 66144
If Petra read four pages more a day, she would read the book two days earlier than if she read six pages a day. How many pages does the book have? - Circumference 66134
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid. - Summands 66044
Divide the number 6 into three summands x, y, z so that x: y = 4:3, y: z = 1:2. - Circumference 65674
The circumference of the triangle is 125 cm. The shortest side is 12 cm shorter than the longest side. The longest side is 7 cm longer than the middle side. How long is the middle side? - Trapezoid 65644
In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm². - Efficiently 65484
In the first workshop, there are 3 workers; in the second workshop, 2 work equally efficiently. They worked on the order together, and for the last 2 days, only workers from the first workshop. If only the first workshop were working, the order would be c - Determine 65384
We divide the number 210 into two summands so that one summand is 30 less than three times the other. Determine the larger of the summands. - Individually 65314
A bakery worker makes 300 rolls more than an apprentice in 2 hours. In 4 hours, they both made 9800 rolls together. What are the hourly output of the worker and the apprentice individually? - Expensive 65184
Barborka chose a backpack for school that was three times more expensive than a slipper pocket. If the backpack were 30 euros cheaper, it would cost the same as a slipper pocket. How many euros did a backpack cost? - Husband 64914
Milan, Sara's husband, is four years older and twice as old as she was 17 years ago. How old are they? - Containing 64604
The metal casting consisted of copper and zinc. If we remelted it with 3 kg of pure copper, we would get an alloy containing 80% copper. Instead, we remelted the casting with 3 kilograms of pure zinc, so the resulting alloy contained only 50% copper. Dete - Passenger 64534
A passenger car drove a highway section at a constant speed. At a speed of 20 km/h higher, the ride would take 6 minutes less. At a speed of 20 km/h lower, it would take 9 minutes more. Calculate the length of the highway section. - Represent 64064
Together, they keep 110 poultry (hens, turkeys, ducks, and geese) on the farm. Hens represent half. There are ten turkeys and seven ducks, more than geese. How many geese are kept on the farm? - Intended 63664
Farmers had to sow 200 hectares of fields. They reduced the planned sowing time by two days while planting 5 hectares more each day than intended. How many days did the sowing last? - In a GP 72+144
In a GP, the sum of the 2nd and fifth terms is 72, and the sum of the 3rd and 6th terms is 144. Find the common ratio, find the first term, and find the sum of the first six terms - An integer
An integer is 17 more than five times another. If the product of the two integers is -6, then find the integers. - Arithmetic 62644
The sum of the two numbers is 18, and their difference is 10. What are the numbers? Calculate the arithmetic mean of the product and the proportion of these numbers.
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