System of equations - math word problems - page 23 of 107
Number of problems found: 2130
- Number summand division
We divide the number 210 into two summands so that one summand is 30 less than three times the other. Determine the larger of the summands. - Bakery worker output
A bakery worker makes 300 rolls more than an apprentice in 2 hours. In 4 hours, they both made 9800 rolls together. What are the hourly output of the worker and the apprentice individually? - Backpack pocket price
Barborka chose a backpack for school that was three times more expensive than a slipper pocket. If the backpack were 30 euros cheaper, it would cost the same as a slipper pocket. How many euros did a backpack cost? - Milan Sara age
Milan, Sara's husband, is four years older and twice as old as she was 17 years ago. How old are they? - Casting alloy weight
The metal casting consisted of copper and zinc. If we remelted it with 3 kg of pure copper, we would get an alloy containing 80% copper. Instead, we remelted the casting with 3 kilograms of pure zinc, so the resulting alloy contained only 50% copper. Dete - Highway section length
A passenger car drove a highway section at a constant speed. At a speed of 20 km/h higher, the ride would take 6 minutes less. At a speed of 20 km/h lower, it would take 9 minutes more. Calculate the length of the highway section. - Poultry farm geese
Together, they keep 110 poultry (hens, turkeys, ducks, and geese) on the farm. Hens represent half. There are ten turkeys and seven ducks, more than geese. How many geese are kept on the farm? - Represented
The children of 5A wrote a math test. The class had 29 children. After evaluation, there were two more units than cents, the mark 3 occurred three times, the mark 2 represented twice the number of units, the mark 4 did not occur. How many ones, twos, thre - Tree street spacing
Eleven trees are planted on the street at equal distances. If they planted three more trees, the spaces between them would be 12 m shorter. What is the distance in meters between the first and the last tree? - Coin crown savings
Petra has two-crown and five-crown coins. He has ten coins in the coffers. How many two crowns and five crowns if she saved CZK 29? - Fire extinguisher weight
During the fire extinguishing exercise, 40% of the foam was sprayed from the foam fire extinguisher. The entire device weighed 7 kg, and after training, it dropped to 4.6 kg. What was the weight of the empty device? - Field sowing days
Farmers had to sow 200 hectares of fields. They reduced the planned sowing time by two days while planting 5 hectares more each day than intended. How many days did the sowing last? - Sibling brigade ratio
Siblings Peter, Pavel, and Lucie shared the money from the brigade in a ratio of 6:3:4. Peter got 48 euros more than Lucie. How much did they all get together? - Iron sulfide composition
How many kg of iron and how many kg of sulfur does 100 kilograms of iron sulfide (FeS) contain if the relative atomic weight of iron is 52 and sulfur 32? - In a GP 72+144
In a GP, the sum of the 2nd and fifth terms is 72, and the sum of the 3rd and 6th terms is 144. Find the common ratio, find the first term, and find the sum of the first six terms - Shooter hit probability
The shooter fired 100 times on the ground. He had four times more successful hits than failed hits. What was the probability of a hit in percent? - Candy color ratio
There are white, red, and green candies in the package. The number of white and red candies is in the ratio of 1:3, and the number of red and green candies is in the ratio of 4:7. There are 20 more green candies than white and red combined. How many candi - Increased sides
If side b of the rectangle increases by 1 cm and the other side decreases by 4 cm at the same time, the area of the rectangle decreases by 48 cm². If side b increases by 2 cm and side a decreases by 1 cm at the same time, the area of the rectangle increas - Fountain sidewalk area
A 2m wide sidewalk is built around the circular fountain. The radii of the circles that delimit the path on both sides are 4:3. What area in square meters does this sidewalk occupy? - Nut pile division
Divide 130 nuts into two parts so that the smaller part is enlarged four times equals the larger part reduced three times. How many nuts are in the smaller pile?
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