System of equations - practice for 13 year olds - page 42 of 48
Number of problems found: 946
- Stamps and albums
Michail has in three albums stored 170 stamps. In the first album, there are 14 more than in the second, and in the second is by 1/5 less than in the third. How many stamps are in the first album? - Classroom
There are eighty more girls in the class than boys. Boys are 40 percent and girls are 60 percent. How many are boys and how many girls? - 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? - 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 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? - 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?
- 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. - 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?
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