System of equations - math word problems - page 106 of 110
Number of problems found: 2182
- Three workers
Three workers, A, B, and C, must work on a specific task. Workers A and B completed the task in 19 days, B with C for 19 days, and A with C for 11 days. How long would it take to complete the task for everyone alone? How long would it take to complete the - Two runners
Two runners set off simultaneously toward each other from locations 23.1 km apart. The average speed of the first runner was 1/7 greater than the average speed of the second runner. How long would each take to run 23.1 km, given that they meet after 58 mi - Rectangles - sides
One side of the rectangle is 16 cm longer than a second. Shortening the longer side by 6 cm and extending the shorter by 9 cm increases the rectangle area by 250 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 did it take 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? - Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c) - Coffee
The coffee from the machine costs 31 cents per cup. Coffee is 20 cents more expensive than the cup. How much is the cup? - Honored students
At the end of the school year, 22% of the 450 children received honors. Honors were awarded to 20% of the boys and 25% of the girls. How many boys and girls attend this school? - 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, - Walkers
Two walkers simultaneously started against each other from places A and B. After the meeting, both continued to B. The Second walker came to B 2.3 hours before the first walker. Its speed is 1.7 times the speed of the first pedestrian. How many hours went - 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 21 students in a class. The mathematics score wasn't worse than 2. The average score in mathematics was 1.0952. How many students have a score of one, and how many have a score of 2? - Two wine
In the ratio of 2:1, mixed wine solution cost 4.4 USD. In the ratio of 1:2, mixed wine solution costs 4.8 USD. How much does a liter of each wine cost? - Angles in a triangle
The angles of the triangle ABC make an arithmetic sequence with the largest angle γ=100°. What sizes have other angles in a triangle? - Pharmacy
At a pharmacy, one container holds a 20% disinfectant solution and another holds a 50% solution. 16 litres of a 26% solution need to be prepared. What amount of solution from each container is needed? - Addends
The number 681 is divided into two addends. 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 10 days. They worked together for 8 days. Then A worker became ill, and worker B finished the job alone for 6 days. If every worker worked alone, how many days did the whole work take for workers A and - Suit
The suit cost 201 euros. How much cost the pants if it is 40% cheaper than the jacket? - Balls
Michal told Martin: give me one ball, and I'll have twice as you. Martin said: Give me 4, and we will have equality. How many balls does each have? - Train
A passenger train traveled for 2 hours 62 km. 1.8 hours after its departure started fast train and caught it on 162 km. How many km/h is different from its average speed?
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