System of equations - practice for 13 year olds - page 43 of 45
Number of problems found: 888
- Three workers
Three workers, A, B, and C, have to work on a specific task. Workers A and B completed the task in 12 days, B with C for 19 days, and A with C for 24 days. How long would it take to complete the task for everyone alone? How long would it take to complete - Rectangles - sides
One side of the rectangle is 10 cm longer than a second. Shortening the longer side by 6 cm and extending the shorter by 14 cm increases the rectangle area by 130 cm². What are the dimensions of the original rectangle? - Two valves
Water fills the pool with two valves for 11 days. After 7 days, the workers stopped the first and second valve fill pool for 7 days. How many days took to fill the pool of each of the valves individually? - Bottle
Bottle with wine costs 42 USD. Wine is 11 USD more expensive than the empty bottle. How much is the bottle itself?
- Coffee
The coffee from the machine costs 28 cents per cup. Coffee is 20 cents more expensive than the cup. How much is the cup? - Cups
We have three cups. In the cups, we had fluid and boredom we started to shed. 1 We shed one-third of the fluid from the second glass into the first and third. 2 Then, we shed one-quarter cup of liquid from the first to the second and to the third. 3 Then, - Waiting room
In the waiting room are people and flies. Together they have 21 heads and 102 legs (fly has six legs). How many people and flies are in the waiting room? - Certificate
There are 31 students in a class. The mathematics score wasn't worse than 2. The average score in mathematics was 2. How many students have a score of one, and how many have a score of 2? - Cyclists
The cyclist who rides at an average speed 16 km/h travels a trip distance 10 min before the cyclist who rides at an average speed 11 km/h. What is the length of this cyclist trip(distance in km)?
- Two wine
In the ratio of 2:1, mixed wine solution cost 4.1 USD. In the ratio of 1:2, mixed wine solution costs 4.5 USD. How much does a liter of each wine cost? - Pharmacy
At the pharmacy are in one container 20% solution in the second 50% solution of disinfectant. They need to prepare 4 L of the 48-percent solution. What amount of solution from each container is needed to mix? - Addends
Number 681 divided into the two addends that the first was 9 greater than 60% of the second. Determine these addends. - Workers
Two workers, A and B, will be done work together for 15 days. They worked together for 13.5 days. Then A worker became ill, and worker B finished the job alone for 7.5 days. If every worker was working alone, how many days took the whole work for workers - Suit
The suit cost 119 euros. How much cost the pants if it is 50% cheaper than the jacket?
- Balls
Michal said to Martin: give me one ball, and I'll have twice as you. Martin said: give me 4, and we will have equally. How many balls does each have? - Train
A passenger train traveled for 2 hours 74 km. 3.1 hours after its departure started fast train and caught it on 186 km. How many km/h is different from its average speed? - Homework - jumps
Sasha jumped 131 cm Peter 4 cm more than Jirka. Jirka 6 cm less than Misha. Misha 7 cm less than Filip, and Filip is half as much as Sasha and Petr together. How far does each jump? - Hostel
Students are accommodated in 22 rooms. Rooms were 4 and 6 bed. How many rooms in which type occupied 106 children there? - Forestry workers
56 laborers have employed planted trees in the forest. For 8 hour work, a day would end job in 37 days. After 16 days, 9 laborers go forth? How many days are needed to complete planting trees in nurseries by others if they work 10 hours a day?
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