System of equations - math word problems - page 64 of 107
Number of problems found: 2125
- Original 6497
Two numbers are in the ratio 5:6. If one number is smaller by seven and the other is larger by seven, there will be new numbers in the ratio 4:7. What is the original, and what are the changed numbers?
- Dimensions of a cylinder
We rolled a cylinder shell with a volume of 18 / π dm³ from a rectangle with an area of 6 dm². Calculate the dimensions of the rectangle.
- Remainder 6493
A third of the 1st-grade pupils eat lunch and a snack in school, a quarter only have a snack in school and a sixth only have lunch in school. The remainder, 15 pupils, do not go to primary school. How many pupils are there in the 1st grade? And how many a
- Four numbers
The first number is 50% second. The second number is 40% third. The third number is 20% of the fourth. The sum is 396. What are the numbers?
- Buns and toasts
Two buns weigh 10 grams more than two toasts. One Bun and two Toast weigh a total of 110 grams. How many grams weigh three toasts? How many grams does a Bun weigh?
- Triplets
Three years ago, the triplets Pavel, Petr, Luke, and their five-year-old sister Jane had been together for 25 years. How old is Jane today?
- Speed of car
The car went to a city that was 240 km away. If his speed increased by 8 km/h, it would reach the finish one hour earlier. Determine its original speed.
- Distance 6460
Tomas will leave point A at a speed of 4 km/h at 9 o'clock. Ondra will meet him from point B at a speed of 3 km/h at 9.30 am. The distance between points A and B is 5.5km. What time do they meet, and how far will they be from point B?
- The tourist
The tourist came started from the hostel at an average speed of 5km/h. Half an hour later, the bicyclist started along the same route at a speed of 20km/h. How many minutes will a cyclist catch up, and how many kilometers will he go?
- Together 6451
Peter and Paul are 26 years old together. Four years ago, Peter was twice as old as Paul. How old is Peter? And how much for Paul?
- Apples
Zuzana bought 3 kg Jonathan apples. Then she noticed that Golden apples were 3 CZK a kilogram cheaper. So they bought 2 kg. For apples, she paid a total of CZK 109. How much did 1 kg, Jonathan, and how much Golden?
- Candy and boxes
We have some candy and empty boxes. When we put ten sweets in boxes, two candies and eight empty boxes will be left. When of eight, there will be six candies and three boxes left. How many candy and empty boxes are gone when we put nine sweets into a box?
- English-German 6443
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination.
- The truck
The empty truck left the warehouse for goods at 10:00 and arrived at 11:30. At 2:00 pm, they loaded back on the same route. But it was a quarter slower than going to the warehouse. We know that on the way to the warehouse, the car traveled at a speed of 1
- Pupils 6434
There are 25 pupils in every 5th class in the class, 18% of boys and 23% of girls. How many boys are in the class, and how many girls are there?
- Destination 6420
On the 182 km route, car A left at 9:00 a.m., car B at 9:30 a.m., and car C at 9:45 a.m. All three cars reached their destination at the same time. The average speeds of cars A and B differed by 6.5 km/h. How much did the average rates of cars A and C dif
- Calculate 6414
If we add the same number x to the numbers -1,3,15,51, we get the first four members of the geometric sequence. Calculate the number x and the first four members of the geometric sequence.
- Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6:5:3. Find the length of the longest side of the triangle in cm.
- Rectangular 6397
Calculate the area of Mr. Vejvoda's rectangular garden rounded to whole hectares if you know that garden fencing, including gates and doors, is 420 m long and its dimensions are in the ratio of 9:5
- A triangle
A triangle has one angle of 63.1°, and the other two are in the ratio of 2:5. What are the measurements of the two angles?
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