System of equations - math word problems - page 63 of 107
Number of problems found: 2125
- Rectangles
The perimeter of a rectangle is 90 m. Divide it into three rectangles. The shorter side has all three rectangles the same. Their longer sides are three consecutive natural numbers. What are the dimensions of each rectangle? - Vehicles 6582
Rudo has three times more cars than his friend Brano. When Rudo's younger brother Igorko took four vehicles for both of them, Rudo had five times more than Braňo. How many cars does Braň have now? - Pupils 6579
There are 169 pupils, 45 rooms, how many rooms are three beds and how many five beds? - Simultaneously 6563
The fraction will have a value of 3 if we increase the numerator (a) by 1 and simultaneously decrease the denominator (b) by 2. However, if we simultaneously decrease the numerator and the denominator by 1, the fraction will have a value of 1/2. What frac - Spending 6556
Romana, Pavol, and Ján were on vacation. Everyone paid some part of the cost. After the vacation, it was found that Romana spent Sk 19,000 for all three, Pavol Sk 7,000 for all three, and Ján Sk 4,000 for all three. How much money will each of them pay ea - In the new In the new television show, a competition was announced for the funniest logo of the show. A total amount of CZK 13,300 was determined for the three winners: the amount will be divided so that the second prize is two-thirds of the first prize and the thir
- Students 6541
There are a total of 47 pupils in three classes in the rural school. There are 20% more pupils in the first grade than in the second grade and one pupil less in the third grade than in the second grade. How many students are there in each class?
- Kilometers 6535
Two cyclists rode from Prague to Poděbrady. Determine the average speed of each of them if you know that they traveled 56 km and that the slower one lost two kilometers to the faster one every hour so that he arrived in Poděbrady 30 minutes later. - Solid cuboid
A solid cuboid has a volume of 40 cm³. The cuboid has a total surface area of 100 cm squared. One edge of the cuboid has a length of 2 cm. Find the length of a diagonal of the cuboid. Give your answer correct to 3 sig. Fig. - Determine 6533
A total of 256 tickets were sold for the concert. CZK 2,800 was collected for tickets under the stage, and CZK 2,160 for tickets to the corridors. Determine the price of tickets under the stage and on the corridors, if you know that the ticket under the p - Bottles 6527
Five boxes of fish and three bottles of drink cost 276 CZK, three boxes of fish and two bottles of drink cost 176 CZK, and two boxes of fish and one drink bottle cost 176 CZK. Thus, we pay 276 CZK for two boxes of fish and one drink bottle. - Pedestrian 6526 At 9 o'clock, the pedestrian climbed at an average speed of 5 km/h, and 3 hours later, a cyclist followed him at 12 km/h. Determine what time they will meet.
- Circumference of a triangle
The circumference of the triangle is 104 cm. One side is 6 cm longer and 8 cm shorter than the third. Find the lengths of its sides. - Remaining
Aladár promised his mother that he would wash the plates. In order not to get too tired, he divided the work into four stages. First, he washed one quarter of all the plates. After a short rest, he washed one sixth of all the plates. After a long rest, he - Together 6519
One worker makes 15 parts per hour, the other 12, and the third 10. How many hours did each work when they worked together for 15 hours?
- Car driver
The car driver is in town A and is scheduled to be in town B at a specified hour. If it travels at an average speed of 50km/h, it will arrive in city B 30 minutes later. But if he travels at an average speed of 70km/h, he would arrive half an hour earlier - Bottles The must is sold in 5-liter and 2-liter bottles. Mr. Kucera bought a total of 216 liters in 60 bottles. How many liters did Mr. Kucera buy in five-liter bottles?
- Area of garden
If the width of the rectangular garden is decreased by 2 meters and its length is increased by 5 meters, the area of the rectangle will be 0.2 ares larger. If the garden's width and length will increase by 3 meters, its original size will increase by 0.9 - Determines 6508
The product of the two numbers is 504. When one of them increases by six, the product increases to 720. It determines both factors. - From Pardubice Mrs. Černá left Pardubice and rode to Rychnov nad Kněžnou at an average speed of 60 km/h. At the same time, Dáša rode her bicycle from Rychnov nad Kněžnou and rode to Pardubice at an average speed of 25 km/h. The place on the road where they passed was 10
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