Equation + system of equations - practice problems - page 22 of 64
Number of problems found: 1263
- In a
In a triangle, the aspect ratio a: c is 3: 2, and a: b is 5: 4. The perimeter of the triangle is 74cm. Calculate the lengths of the individual sides. - Kilometers 22721
Pupils walked 49 km in three days. The next day they ran 20% more than the first day, and on the third day, they ran 2 km less than the second. How many kilometers have they traveled each day? - There 22691
There were hens and hares in the yard. They had a total of 20 heads and 56 legs. How many hens and how many hares? - Circumference 22243
The circumference of the first wheel is 0.5 m larger than the circumference of the second wheel. The first wheel turns on the 36 m track as many times as the second on the 30 m track. Determine the rims of both wheels. - Seedlings 21583
Mrs. Beránková bought flowers for spring planting. Begonias were CZK 35 each and geraniums CZK 48 each. She paid CZK 1,070 for 25 seedlings. How many begonia seedlings and how many nutmeg seedlings did she purchase? - Sixty-three 21513
Sixty-three children went to the camp. There are seven more boys than girls. How many boys went to the camp, and how many girls? - Working together
Two people will do the work in 12 days. They worked together for eight days. Then only one worked for ten days. How many days would each of them do the work if he worked alone? - Eighty-eight 21113
588 pupils attend the school. There are 10% more girls than boys. How many boys and how many girls go to school? - 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 - 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? - 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? - 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. - Solution 19283
How many grams of 80% solution and 55% solution do we need to mix to obtain 100 grams of 60% solution? - 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) - 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?
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