System of equations - math word problems - page 99 of 103
Number of problems found: 2050
- The professor's birthday
Professor of mathematics had 44 birthdays. The director congratulated him. The professor asked the director: "And how old are you?" The director replied: "I'm exactly twice as many years as you were when I was old as to you today." How old is the director
- Bases
The length of the bases trapezium is in ratio 4:5. The length of the midline is 15. How long are the bases of a trapezoid?
- Tram
In the three-part tram went 206 passengers in front of others, 226 after others and in the middle half. How many passengers went on the tram in total?
- Brunette
The girls attending primary school are 30% blondes and 70% brunettes. 81% blondes and 19% brunette has blue eyes. How many girls attend school altogether if 470 girls have blue eyes?
- TV commercials
For the typical one-hour prime-time television slot, the number of minutes of commercials is 3/8 of the actual program's minutes. Determine how many minutes of the program are shown in that one hour.
- Trains
From station 130 km away started passenger train and after 2.7 hours after the express train, which travels 20 km an hour more. Express train finish journey 12 minutes early. Calculate the average speed of these two trains.
- Flowerbed
On the flowerbed were planted 280 flowers - pansies and crayons during the first week, wilts quarter of pansies and an eighth crayons, which is 20% of all flowers. How many pansies were planted on the flowerbed?
- The store
The store received the same number of cans of peas and corn. On the first day, we sold 10 cans of peas and 166 cans of corn, leaving 5 times more peas than corn cans. How many cans of each kind were in the store?
- Three workers
Three workers, A, B, and C, must work on a specific task. Workers A and B completed the task in 22 days, B with C for 10 days, and A with C for 19 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 ran simultaneously towards each other from locations distant 23.1 km. The average speed of the first runner was 1/7 higher than the average speed of the second runner. How long should each run a 23.1 km, if you know they meet after 58 minutes?
- 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 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 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,
- 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 hours before the first walker. Its speed is 2.7 times the speed of the first pedestrian. How many hours went p
- 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?
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