System of equations - math word problems - page 97 of 107
Number of problems found: 2127
- Candies
If Alena gives Lenka, 3 candies will still have one more candy. If Lenka gives Alena 1 candy, Alena will have twice as much candy as Lenka. How many candies have each of them?
- 3 days
The worker checked 2,950 products in 3 days. The second day checked 25% more than the first day. On the third day, 15% more products than on the second day. How many products does he check in each day?
- The hall
The hall had a rectangular ground plan, one dimension 20 m longer than the other. After rebuilding, the length of the hall declined by 5 m, and the width increased by 10 m. The floor area increased by 300 m². What were the original dimensions of the hall?
- Farm2
The farm bred turkeys, geese, hens, and chickens. Everything is 400. Turkeys and geese a hen are 150. No hen has more than one chicken, but some hens have no chick. Half of them are also a quarter of the chickens. When the turkey was subtracted by 15, we
- Geometric sequence
In the geometric sequence, is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q.
- Dining room
The dining room has 11 tables (six and eight seats). In total, there are 78 seats in the dining room. How many are six-and eight-seat tables?
- Cylinder surface, volume
The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume.
- Father and son
The father is three times older than his son. Twelve years ago, the father was nine times more senior than the son. How old are father and son?
- Antennas
If you give me two antennas, it will be the same. If you give me again your two antennas, I have 5× so many more than you. How many antennas have both men?
- Tractor wheels
Smaller tractor wheel has a circumference of 3 meters, bigger 4 meters. On what path executes smaller wheel six turns over bigger?
- Cents
Julka has 3 cents more than Hugo. Together, they have 27 cents. How many cents has Julka and how many Hugo?
- Car rent
Rental cars are paid a fixed daily fee plus 16 cents per kilometer traveled. Samuel wants to rent a car for a day and work out, which will cost 175 euros. When paying, he got a 20% discount on the daily fee, and the cost per kilometer was unchanged. Samue
- Holidays
Of the 35 students in the class, seven were on holiday in Germany and just as many in Italy. Five students visited Austria. There were 21 students in none of these countries. One student visited all three. There were two students in Italy and Austria and
- The city
In the city, 2/4 of women are married to 3/4 of men. What percentage of townspeople is single (not married)?
- Truck
In 7 hours, we started from the town Krnov truck at a speed of 40 km/h. Passenger cars started against it in 8 hours 30 minutes from the city of Jihlava at a speed of 70 km/h. The distance between these two cities is 225 km. At what time and distance do t
- Sisters
Sisters Janka and Danka have 220 CZK saved together. She wants to take a fifth of her savings and Danka's quarter on a trip to Janka. Then, they will have 50 CZK on the trip. How much money did Janka and Danka have?
- School year
At the end of the school year, 20% of the 250 children who attended school were awarded. 18% of boys and 23% of girls received awards. Find the number of boys and girls who attend school.
- Jane
Jane buys gifts together for 464 SKK. She pays 4.5 times less for the tie than for the shirt, but 56 SKK more for the socks. Thus, she pays 464 SKK for each item in the gift.
- Revenue
Mr. Robert and Mr. Norbert get together € 1400. The revenue split in the ratio of 4:3, depending upon each work. How many got each of them?
- Book
Alena read a book at a speed of 15 pages per day. If she read twice as fast, she should read a book four days earlier. How many pages have a book?
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