System of equations - practice for 13 year olds - page 20 of 45
Number of problems found: 886
- Summands 7380
Divide the number 4600 into two summands so that one summand is 700 larger than half of the other summand. - Difference 7359
The apartment on the first floor has an annual rent of 10% higher than the same apartment on the second floor. The difference in the yearly rent is €105. What are the annual rent for the apartment on the first floor and the apartment on the second floor? - Particular 7338
Two workshops of a particular company produced 25 parts a day. To have 300 pieces, one worked for ten days and the other for 15 days. How many parts did each workshop make per day? - Together 7309
Marta bought 10 kg of rice and 25 kg of flour for 40 euros. A kilogram of flour and a kilogram of rice together cost 1.80 euros. How much does 1 kg of each type of goods cost? - Karel's 7305
Paul's age is 60% of Karel's age. In 15 years, Paul's age will equal 80% of Karel's age. How old is Pavel? - Employed 7292
Mr. Janda's factory employs three times as many men as women. There are 190 fewer women employed in this factory than men. How many men and women are employed in this factory? - Bucket
Half-filled bucket with water weighs 5.55 kg. The full bucket weighs 9.85 kg. How much does the bucket weigh? - Compartments 7275
Tomáš has two compartments with CD-ROMs. The arithmetic average of the number of CDs in both bins is 30. If he added 10 more CDs to the first bin, there would be 1.5 times more CDs than in the second bin. How many CDs are in each compartment? - On the 4
On the way to play disc golf with his two boys, Mr. Smith purchases three muffins and two water bottles, totaling $9.75. The following week he only had Asher with him, so he bought two muffins and one bottle of water totaling $6.00. What is the cost of on - Dirty road
Mr. Smith is on a road trip to a remote disc golf course 180km away. He travels part of the way at 100km/h along the highway and part of the way at 50km/h along dirt roads. If it took 2 hours to get there, how many hours did he spend on dirt roads? - Father 7222
Now a father is five times as old as a son. In 2 years, the father will be four times as old as the son. How old is Dad, and how many are Son now? - 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? - Two numbers 7
The sum of two consecutive even numbers is 30. Find the numbers. - 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? - Linear system
Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2 - Younger 7012
Lena is seven years older than Monica. If both Lena and Monica were four years younger, she would be twice as old as Monica. How old is Lena? - Tickets 4
Stacey is selling tickets to the school play. The tickets are $7 for adults and $5 for children. She sells twice as many adult tickets as children's and brings in a total of $342. How many of each kind of ticket did she sell?
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