System of equations + reason - practice problems - page 19 of 20
Number of problems found: 398
- Family and age ratios
The age of father and son is in the ratio 10:3; the age of father and daughter is in the ratio 5:2. How old are father and son if the daughter is 20? In what ratio is the age of sister and brother? - Turtles Žofka and Julka
Gray wolf kept in his tent turtles Žofka and Julka, which together have 200 years. After 50 years, Julka will be two times older than Žofka. How old are the turtles? - Hockey teams goals
Hockey teams fired 200 goals. The second team was 13 less than the first team, the third 16 less than the first, and the fourth team had 19 goals less than the first. How many goals fired each team? - Chicken
I threw three chickens for a handful of grains, and I noticed that they ate in a ratio of 8:7:6, and two of them grabbed 156 grains. How many grains have fought that chicken?
- Logistics
The Head of the logistics department informed the meeting of the management that the same item is currently not available in sufficient quantity in all three warehouses of the company. We have a total of 135 pieces. It was 37 pieces more in warehouse No 3 - Target
Peter, Martin, and Jirka were a fire in a particular target, with only three fields with values of 12, 18, and 30 points. All boys were firing with the same number of arrows, and all the arrows hit the target, and the results of every two boys differed by - Mother and daughter 2
The mother is 40 years older than her daughter. How old is the mother if her age is eight-thirds age of the daughter? - Mother and daughter
Three years ago, the mother was three times older than the daughter. After nine years, she will be only twice old. How old is the mother (and daughter)? - Football league
The 2nd football league plays each of the 16 participants with each opponent twice. For every victory gets 3 points, 1 point for a draw, a defeat, none. After the competition, the team had 54 points and 12 defeats at 9th place. How many times has the team
- Password
The voltage station is day changing the master password, which consists of three letters. The code generation process does not change and is based on the following procedure: The following letters (A) to (I) correspond to different numbers from 1 to 9 if - ZOO
In the zoo were elephants, as many as ostriches. Monkeys were four times more than elephants. Monkeys were as many as flamingos. Wolves were five times less than flamingos. How many of these animals were together? We know that there were four wolves. - BW-BS balls
Adam has a full box of large or small balls, black or white. The ratio between large and small balls is 5:3. Within the large balls, the ratio of black to white is 1:2, and between small balls, the ratio of black to white is 1:8. What is the ratio of all- - Division
Three siblings, Helena, Oliver, and George, split the bag with candies on merit in the ratio 6:1:4. How many candies should each get if in the bag were 88? - 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
- 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 in the tram total? - 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 to leave 5 times more peas than corn cans. How many cans of each kind were in the store? - 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? - Paddlers
Students of canoeists trip traveled in three days 102 km. On the second day, they traveled 15% more than the first day and on the third day 9 km over the second day. How many kilometers are traveled each day?
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