System of equations - practice for 14 year olds - page 11 of 62
Number of problems found: 1238
- 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. - 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? - 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?
- 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
40% of the foam was sprayed from the foam fire extinguisher during the fire extinguishing exercise. The weight of the entire device was 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? - Kilograms 63624
How many kg of iron and how many kg of sulfur does 100 kilograms of iron sulfide (FeS) contain if the relative atomic weight of iron is 52 and sulfur 32?
- Combined 63284
There are white, red, and green candies in the package. The number of white and red candies is in the ratio of 1:3, and the number of red and green candies is in the ratio of 4:7. There are 20 more green candies than white and red combined. How many candi - Increases 63204
If side b of the rectangle increases by 1 cm and the other side decreases by 4 cm at the same time, the area of the rectangle decreases by 48 cm². If side b increases by 2 cm and side ao decreases by 1 cm at the same time, the area of the rectangle increa - Sidewalk 63134
A 2m wide sidewalk is built around the circular fountain. The radii of the circles that delimit the path on both sides are 4:3. What area in square meters does this sidewalk occupy? - Enlarged 63034
Divide 130 nuts into two parts so that the smaller part enlarged four times equals the larger part reduced three times. How many nuts are in the smaller pile? - Two-fifths 63014
We divided a certain amount of money between three people so that the first got two-fifths of what the second and third combined. The second got twice as much as the first. If the third received €750 less than the first, how much did each receive?
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