System of equations - math word problems - page 60 of 107
Number of problems found: 2125
- Stamps collection
Together, Peter and Jan had 52,000 stamps in their collection. To compete with their friend, they must have 56700 stamps. They agreed that Peter would increase his collection by 8 percent and Jan would give 10 percent more than he has. How many stamps did - Kilograms of fruit
Mom paid SKK 132.50 for the purchase. She bought bread, 5 kg apples, and three liters of milk. We know that bread costs twice as much as milk, and a kilogram of apples costs 6.50 SKK less than milk. How many SKKs did milk and bread and a kilogram of apple - Kilometers 7161
Peter cycled 24 kilometers on the weekend, twice as many on Saturday and Sunday. Thus, he cycled 24 kilometers more on Saturday than on Sunday. - Languages 7160
Out of 100 students, 30 studied German, 28 studied German, 42 learned French, eight studied German and German, 10 German and German, and 5 German and German. How many students have learned all three languages? - Filip's 7158
Filip's friend is three times younger than Filip's father. He will be two years younger. How old is Filip's friend? - Mathematical 7136
Out of 50 pupils, 44 solved at least one of the Olympiads - MO Mathematical Olympiad and BO Biology Olympiad. Twenty pupils still need to solve the MO. Of those who dealt with both Olympiads, 1/3 of those who dealt with just one were. How many pupils solv - Bedrich and Adam
When Bedrich is as old as Adam today, Adam will be 14 years old. When Adam was as old as Bedrich, Bedrich was two years old today. How old are Adam and Bedrich today?
- MO Z8-I-1 2018 Fero and David meet daily in the elevator. One morning, they found that if they multiply their current age, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Fero and David.
- Age In 1960, my age was equal to the digits sum of the year of my birth. What is my age now?
- Watching TV
One evening, 2/3 of the students watched TV. Of those students, 3/8 watched a reality show. Of the students who watched the show, 1/4 recorded it. What fraction of the students watched and recorded reality TV? - Watering 7078
A full watering can weigh 27kg. When half full, it weighs 15 kg. How much can an empty watering weigh? - Two numbers 7
The sum of two consecutive even numbers is 30. Find the numbers. - AP RT triangle
The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area? - Father and son
Father and son weigh together 108kg. The father weighs 2.6 times more than his son. How much does the weight of my father and son count? - The tourist
The tourist traveled 190km in 5 hours. Part of the journey was at 5 km/h, and the rest was by bus at 60 km/h. How long has a bus gone?
- Accommodation 7035
Fifty-nine pupils from the seventh grade of the primary school will go to the ski training course. They will live in three-bed and four-bed rooms at the mountain hut. The capacity of the hut will be filled entirely. The cottage has a total of 17 rooms rea - Mathematical 7034
Jaroslav and his grandfather often played mathematical games. His grandfather gave him the following puzzle: The sum of four consecutive even numbers is 116. What are they? - Younger 7033
Cyril was four times less than Dalibor 3 years ago. How many years will Cyril be 2x less if he is 3x younger now? - Linear system
Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2 - Two diggers
Two diggers should dig a ditch. If each of them worked one-third of the time the other digger needed, they'd dig up a 13/18 ditch together. Find the ratio of the performance of these two diggers.
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