System of equations - math word problems - page 94 of 103
Number of problems found: 2041
- Triangle angles
In a triangle, ABC, the interior angle at vertex C is twice the internal angle at point A. The outer angle at point B measured 117 degrees. How big is the external angle at vertex A?
- Supplementary angles
One of the supplementary angles is three times larger than the other. What size is larger of supplementary angles?
- Internal angles
One internal angle of the triangle JAR is 25 degrees. The difference is the size of the two others is 15°. Identify the size of these angles.
- Solutions
How much is the 60% solution, and how much 35% solution needed to create 100 l of the 40% solution?
- Angles in ratio
The size of the angles of the triangle is in ratio x: y = 7: 5, and the angle z is 42° lower than the angle y. Find the size of the angles x, y, and z.
- 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 the 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 sides' lengths.
- 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, I removed 1/4 of the water from the full container, and on the second day, I removed 1/5 of the remaining water. Thus, 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 and 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 AM 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 40 kilometers per hour. In how many hours and how far from cities do trains meet when the distance between cities is 200 kilometers?
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