System of equations - math word problems - page 41 of 107
Number of problems found: 2130
- An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle? - Sweets, candy
Grandfather gave out sweets to four children. At the last moment, two more children came, so to have them all the same, each of the four children would receive four candies less than they would have received if they had not. How much did my grandfather ha - Trapezoid - interior angles
In the trapezoid ABCD (AB II CD) is α = 57°, γ = 4β. Calculate the size of all interior angles. - Anniversary age calculation
Mr. and Mrs. Novák announce the celebration of their 190th anniversary - that's how many years they've been together this year. How old are Mr. Novák and Mr. Novák if we know that Mr. Novák is nine years older than Mrs. Novák? - Wheat rye sowing
Mr. Vávra sows wheat and rye for a total of 28 ha. Rye sows two and a half times the area of wheat. How many ha sow wheat and how much rye? - Pears and oranges
There are three times as many pears as oranges. If a group of children receives five oranges each, no oranges will be left over. If the same group of children receives eight pears each, there will be 21 pears left over. How many children and oranges are t - Car meeting calculation
When and where will the two cars that drove at the same time from cities A and B 90 km apart if the car from city A travels at a speed of 75 km/h and the car from city B at a speed of 60 km/h meet? - Grade pupil distribution
There are 59 pupils in the 9th grade. In 9A, there are 15% more pupils than in 9B. In 9C, there are 20% fewer than in 9B. How many pupils are in individual classes? - Contestants
The three best contestants will divide the total prize of CZK 4,200. The second gets 20% more than the third, and the first gets 200 CZK less than the second and third together. Thus, the total prize will be CZK 4,200. - Together - parents Pavel received half as much money from his parents as Petr and Milan half as much as Pavel. How much did all the boys get together? The parents gave Milan CZK 1,350.
- Triangle side ratio
A triangle with sides a, b, and c whose circumference is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle. - In the classroom There are 30 boys and a few girls in the class. In the six months, 28 boys and all girls benefited, which was 95% of all pupils. How many pupils are there in the classroom?
- Bent scale
Monica weighed 52 kg. Sara 54 kg. Together they weighed 111 kg. They noticed that the needle on the scale was bent. How much did they really weigh? - Grain harvest calculation The cooperative farmers harvested 300 tons of grain. Wheat was 25% more than oats, and rye was 96 tons less than wheat and oats combined. How many tons of wheat, rye, and oats did the cooperative harvest?
- Tree ratio calculation
There are pears, apples, and cherries in the alley. There are a total of 1,075 trees. Pear is twice as much as apple, and cherry is 30% more than apple. How many trees are there? - Arithmetic sequence calculation
Calculate in arithmetic sequence a1, d, s7, if: a1 + a4 + a6 = 71 a5 - a3 - a2 = 2 Hint: Use the substitution method when solving the system. Pay due attention to the "minus" signs in the second equation of the system. - Block or cuboid
The wall diagonals of the block have sizes of √29cm, √34cm, and √13cm. Calculate the surface and volume of the block. - Birthday age calculation
Jan and Alice have a birthday today. Jan is five years younger than Alice. Ten years ago, they were a total of 65 years old. How old is Jan today? - Solution mixing calculation
How many grams of 80% solution and 55% solution do we need to mix to obtain 100 grams of 60% solution? - Machine tool transport
They were to dispatch and transport 35 machine tools of two types with a total weight of 16.54 tons from the plant. The machine of the first type weighed 420 kg. The second was 80 kilograms heavier. How many machines of the first and second kind did they
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