System of equations - math word problems - page 98 of 103
Number of problems found: 2050
- Mother and daughter
Three years ago, the mother was three times older than the daughter. After nine years, she will be only twice as old. How old is the mother (and daughter)?
- Two workers
Two workers will do certain work for 12 days. After eight days of working, one was removed, and the other finished the job alone in 10 days. For how many days would you do this work alone for each worker?
- Honza + Alice + Tonda
Honza + Alice + Tonda have a total of 111 USD. The ratio between Honza and Alena is 5:6, and the ratio between Alice and Tonda is 4:5 How much money does each of them have?
- Pedestrian up-down hill
The pedestrian goes for a walk first on the plane at 4 km/h, then uphill at 3 km/h. Then it is in the middle of the route, turns back, and goes downhill at 6 km/h. The total walk was 6 hours. How many kilometers went pedestrians?
- Football league
The 2nd football league plays each of the 16 participants with each opponent twice. Every victory gets 3 points, 1 point for a draw, a defeat, or none. After the competition, the team had 54 points and 12 defeats at 9th place. How many times has the team
- Reservoir + water
The reservoir filled with water weighs 29 kg, and after pouring off, three-quarters of the water weighs 9 kg. Calculate the weight and volume of the reservoir.
- 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.
- Barbara
Barbora goes to school with a backpack that is 2 times more expensive than a bag slipper. If the backpack were 36 euros cheaper, it would cost the same as the bag slipper. How many backpacks cost, and how many bag slippers?
- Exam average
The average of marks that have on the certificates students of 8A class in mathematics is exactly 2.45. If we did not add 1 and 3 of students Michael and Alena, who arrived a month ago, it would average exactly 2.5. Determine how many students have class
- 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-
- Playing Cards
Kara has 2 times more cards than Dana. Dana has 4× less than Mary. Together, they have 728 cards. How many cards have each of them?
- Alloy
The first alloy is a mixture of two metals in the ratio 1:2; the second is a mixture of the same metals in the ratio 2:3. At what ratio do we have these two alloys put into the furnace to obtain a new metal alloy with a ratio of 17:27? (All three ratios c
- Rectangle - sides 3
If in the rectangle ABCD, we enlarge side a by 5 cm and decrease side b by 2 cm, the rectangle area will be reduced by 5 cm². When we decrease the length of side a by 4 cm, and at the same time we increase the length of side b by 3 cm, we increase the are
- Book
John read the book so that it read 27 pages per day. Maxim read 33 pages a day and read it two days earlier than John. How many pages is the book?
- Aircrafts
Above the town, the hall tower flew the plane at a constant speed of 510 km/h, and 15 minutes later, the second plane at a speed of 703 km/h. How long and how far from the town hall will it be for aircraft to catch up?
- Sum-log
The sum of two numbers is 32, and the sum of their logarithms (base 10) is 2.2. Determine these numbers.
- Alcohol 2
Two types of alcohol, one 46% and second 64%, give 16 liters of 54% alcohol. How many liters of each type are in the mixture?
- Scouts
The boys from the scout group traveled a distance of 115 km over d days. Every day, they walked less than the previous day. How many kilometers did the scouts walk on the first day?
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