System of equations - math word problems - page 90 of 98
Number of problems found: 1957
- Angles of the triangle
ABC is a triangle. The size of the angles alpha and beta are in a ratio of 4:7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine angles of the triangle ABC. - Parallelogram
The parallelogram has side lengths in the ratio of 3:4 and a perimeter of 2.8 meters. Determine the lengths of the sides. - The farmer
The farmer harvested 840 tons of grain in 2006, 44% less than in 2005 and one-fifth more than in 2004. How many tons of grain were harvested in the years 2005 and 2004? - Cargo
The weight of the cargo car is 761 kg. The car's weight is 23% of the total weight of the car+cargo. What is the weight of the cargo load?
- Container
On the first day got off 1/4 of the water from the full container, second day, 1/5 of the remaining water. How many percent remain container filled? - James
James paints a fence. If he painted every day, instead of 14 planks, he would do 16 one day earlier. How many planks have a fence altogether? - Unknown number 10
The number first increased by 30%, then by 1/5. What percentage we've increased the original number? - Barrel
The barrel is filled with water up to 57% of its capacity. When we add two buckets will be filled to 73% of their capacity. What is the volume of a barrel if the volume of the bucket is 12 liters? - Crowns
1180 crowns are divided into three: A got 20% less than B, and C got 15% more than B. How many got A, B, and C?
- Family
Martin has just as brothers as sisters. But his sister Jana has two times more brothers than sisters. a) How many children are in this family? b) How many boys and how many girls are in the family? - Triangle midpoints
Determine coordinates of triangle ABC vertices if we know triangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC. - Gardens
The garden has a square shape with a circumference of 124 m. Divide it into two rectangular gardens; one should have a circumference of 10 meters more than the second. What size will the gardens be? - Train from Prague
The first train from Prague started at 8:00 hour at 40 kilometers per hour. Train from Ostrava started at 9:20 at 80 km per hour. How many hours and how far from cities with trains meet if the distance of cities is 400 km. - Train from Brno
The first train started from Brno at 8 AM at 60 km per hour. The second train started from Opava at 7 o'clock at the speed of 40 kilometers per hour. In how many hours and how far from cities trains meet when the distance of cities is 200 kilometers.
- Parking
One hundred twenty vehicles are parked in the morning. Passenger car is charged 20 CZK and 50 CZK per bus. The guard collected for parking 2640 CZK in total. How many cars and buses stood in the parking? - Seamstress
The seamstress bought two kinds of textile together 25 meters. One at 50 SKK and the second at 70 SKK per meter. How many meters were purchased from these two textiles when paid 1540 SKK? - Three men
Alex is half younger than Jan, which is one-third younger than George. The sum of their ages is 48. How are these three men old? - Geometric sequence 5
About members of the geometric sequence, we know: 3 a5:a3 = 27:25 7 a3 +5 a7 = 1 : 564 Calculate a1 (first member) and q (common ratio or q-coefficient) - Cross-country competition
The cross-country competition was attended by 76% of pupils of class 9B. The class consists of 16 boys, two of whom did not run, and four girls did not run. How many girls go to class 9B?
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