System of equations - math word problems - page 20 of 103
Number of problems found: 2050
- 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?
- Distances 64024
Eleven trees are planted on the street at equal distances. If they planted three more trees, the spaces between them would be 12 m shorter. What is the distance in meters between the first and the last tree?
- Five-crown 63854
Petra has two-crown and five-crown coins. He has ten coins in the coffers. How many two crowns and five crowns if she saved CZK 29?
- Extinguishing 63834
During the fire extinguishing exercise, 40% of the foam was sprayed from the foam fire extinguisher. The entire device weighed 7 kg, and after training, it dropped to 4.6 kg. What was the weight of the empty device?
- 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?
- Siblings 63654
Siblings Peter, Pavel, and Lucie shared the money from the brigade in a ratio of 6:3:4. Peter got 48 euros more than Lucie. How much did they all get together?
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