System of equations - math word problems - page 41 of 107
Number of problems found: 2125
- Travels 20483
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? - Individual 20463
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 20433 Pavel received half as much money from his parents as Petr and Milan and half as much as Pavel. How much did all the boys get together? The parents gave Milan CZK 1,350.
- Circumference 20323
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?
- Cooperative 19973
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? - Cherries 19903
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? - Substitution 19793
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 19313
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 19283
How many grams of 80% solution and 55% solution do we need to mix to obtain 100 grams of 60% solution? - Kilograms 19123
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 - Vector perpendicular
Find the vector a = (2, y, z) so that a⊥ b and a ⊥ c where b = (-1, 4, 2) and c = (3, -3, -1)
- Together 19033
During the football season, Adam scored 23 goals more than Braňo, and Braňo scored 16 goals less than Karel. Edo scored 6 goals more than Dušan. Karel gave 5 more than Edo. Braňo and Edo scored 17 goals together. How many goals did each boy score, and how - Average speed
The average speed of a good cyclist is 30 km/h. The average speed of the less able is 20 km/h. They both set off on the same route at the same time. A good cyclist drove it 2 hours earlier. How long was the route? - Children 18963
There are 39 people on the bus. There are 11 more adults than children. How many children are on the bus, and how many adults? - Siblings 18943
Two siblings, Eva and Peter, saved a total of 228 CZK. Eva saved three times more than Peter. How much did each of them save? - Exhibition 18783
During 3 days, 2870 people went to the exhibition. On the second day, 140 more people came to the exhibition than on the first day. On the 3rd day, there were 1.5 times more people at the exhibition than on the second day. How many people visited the exhi
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