System of equations - math word problems - page 99 of 107
Number of problems found: 2125
- 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?
- 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?
- Eva
When Eva bought eight packages of cookies, 4 CZK left her. If she wanted to buy ten packages, she would have to borrow 20 CZK. How much money does Eva have in her wallet? - Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs. - Lenka and money
When Lenka bought pants from 1/3 of her savings and a shirt from 1/5 and 1/8 spent at the hairdresser, she was left with 328 CZK. How much money was saved? How much do hairdressers cost? - Ski lessons
The ski course attends 80 pupils. They live in triple and quadruple rooms. Count if rooms are the 23. How many are triple and quadruple rooms? - Three friends
The three friends spent 600 KC in a teahouse. Thomas paid twice as much as Paul. Paul was half less than Zdeněk. How many each paid? - Lentilka
Lentilka made 31 pancakes: eight unfilled, 14 filled with strawberry jam, and 16 filled with cream cheese. a) How many Lentilka did strawberry-cream cheese pancakes? Max ate four strawberry-cream cheeses and all pure strawberry pancakes. Nicholas ate thre - Bob and Bobek
Bobek has two cabbages and five carrots. Bob has two cabbages and nine carrots. When Bobek stepped on the scale weight 5800 g, and Bob weighed 8960 g. Actual Bob weight is 8 kg and Bobek 5 kg. How much weighs one carrot? - Cuboid - edges
The sum of all edges cuboid is 31 meters. However, the width is twice shorter as the length, and the height is seven times longer than the width. Determine the dimensions of the cuboid.
- Box of chocolates
In a box of chocolates were 16 candies. Christopher and Luke were distributed: a) Christopher had about four candies over Luke, b) Christopher had about six candies less than Luke, c) Christopher had three times more sweets than Luke. How many had each bo - Workhorses
A team of colleagues did the work in 20 days. After adding two colleagues from the beginning, the team completed the work in 15 days. How many members has the colleague team? - Shoes
Peter decided to measure the shoe size of his three friends. Measured accurately and written as follows: Venda and Jenda together 52 cm Jenda and Zdenda together 58 cm Zdenda and Venda together 54 cm a) How long measure Vendy, Jenda, and Zdenda shoes toge - Journey
The road from A to B measures 11.5 km. Firstly, up the hill, then level plane, and then downhill. Tourists go uphill at 3 km/h, on planes at 4 km/h, and downhill at 5 km/h. From point A to B, it went 2 hours, 54 minutes back, 3 hours, and 6 minutes. How l - Coins
One hundred coins, only 20-cent and 50-cent coins, were in the ticket machine. The total was 29 euros and 60 cents. How many were in the ticket machine coins, and which type?
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