System of equations - math word problems - page 59 of 107
Number of problems found: 2125
- Kindergarten 7313
The children in the kindergarten drank 20% of the prepared tea in the morning. They drank another 10% of the left tea afternoon. After the whole day, there were still 9 liters of tea left. How many liters of tea was prepared in the kindergarten in the mor
- One-tenth 7312
The brother and sister will be a total of 73 years old. At present, a sister is one-tenths older than her brother. How old are they now?
- Together 7309
Marta bought 10 kg of rice and 25 kg of flour for 40 euros. A kilogram of flour and a kilogram of rice together cost 1.80 euros. How much does 1 kg of each type of goods cost?
- Karel's 7305
Paul's age is 60% of Karel's age. In 15 years, Paul's age will equal 80% of Karel's age. How old is Pavel?
- Distances
On the way from Bratislava to Trebišov (440 km), 2 cars set off towards each other. The car from BA set off at 8:00 a.m. and the car from Trebišov at 9:00 a.m. They met at 11:00 a.m., the car from Trebišov traveled 25 km less than the second car each hour
- Employed 7292
Mr. Janda's factory employs three times as many men as women. There are 190 fewer women employed in this factory than men. How many men and women are employed in this factory?
- Bucket
A half-filled bucket with water weighs 5.55 kg, while the full bucket weighs 9.85 kg. Thus, the bucket weighs 9.85 kg.
- Compartments 7275
Tomáš has two compartments with CD-ROMs. The arithmetic average of the number of CDs in both bins is 30. If he added 10 more CDs to the first bin, there would be 1.5 times more CDs than in the second bin. How many CDs are in each compartment?
- Provides 7260
How much money does a brother have, and how much does a sister have if she pays: if a brother gives a sister CZK 24, they will have the same. If a sister provides a brother with CZK 27, will the brother have twice as much?
- Decomposed 7258
The number 135 can be decomposed into the product of two factors, so one will be three greater than 40% of the other. What are these factors?
- On the 4
On the way to play disc golf with his two boys, Mr. Smith purchases three muffins and two water bottles, totaling $9.75. The following week he only had Asher with him, so he bought two muffins and one bottle of water totaling $6.00. What is the cost of on
- Home cleaning
Mr. Smith is cleaning up a big mess at home. In the closet, he finds a solution that is 5% bleach and another stronger solution that is 20% bleach. For this particular job, he needs 600mL of 15% bleach. How much of each type (to the nearest mL) should he
- Dirty road
Mr. Smith is on a road trip to a remote disc golf course 180km away. He travels part of the way at 100km/h along the highway and part of the way at 50km/h along dirt roads. If it took 2 hours to get there, how many hours did he spend on dirt roads?
- A man 2
A man divides $10,000 into two investments, one at 10% and one at 30%. Find the amount invested at each rate so that the two investments produce the same income annually.
- Father 7222
Now a father is five times as old as a son. In 2 years, the father will be four times as old as the son. How old is Dad, and how many is Son now?
- On a truck
Two types of barrels were loaded on a truck, a larger one weighing 50 kg and a smaller one weighing 20 kg. A total of 120 barrels were loaded on the truck and their combined weight was 3300 kg. Calculate how many larger barrels were loaded on the truck in
- Precisely 7199
If Peter had 700 CZK more, he would have the same as Jirka. Zdenek has a third of what Peter precisely. Together, they have 7000 CZK. How much does everyone have?
- Everyone 7196
Filip had two more balls than Jarda, and Milos had twice as many as Filip. They had a total of 33 balls. How much did everyone have?
- They exceeded
In mines A and B, they were supposed to extract 20,000 tons of coal together. However, they exceeded their joint plan and so they extracted 133 tons more together. In mine A, they exceeded the plan by 2 percent, and in mine B, on the contrary, they extrac
- Ticháček 7185
Mr. Ticháček had three gypsum dwarfs in the garden: the largest was called Maško, the middle Jarko, and the smallest Franko. Since he liked to play with them, he discovered that when he put Fan on Jarek, they were as tall as Maško. On the other hand, when
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