System of equations - math word problems - page 24 of 110
Number of problems found: 2182
- Workshop order days
In the first workshop, there are 3 workers; in the second workshop, 2 work equally efficiently. They worked on the order together, and for the last 2 days, only workers from the first workshop. If only the first workshop were working, the order would be c - 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
Barbara chose a backpack for school that was three times more expensive than a shoe bag. If the backpack were 30 euros cheaper, it would cost the same as a shoe bag. How many euros did a backpack cost? - Milan Sara age
Milo, 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 class 5 A wrote a maths test. The class had 29 children. After marking, there were two more grade 1 s than grade 5 s; grade 3 occurred three times; grade 2 represented twice the number of grade 1 s; grade 4 did not occur. How many students - 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 Lucy shared the money from the brigade in a ratio of 6:3:4. Peter got 48 euros more than Lucy. 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 geometric progression, the sum of the 2nd and 5th terms is 72, and the sum of the 3rd and 6th terms is 144. Find the common ratio, the first term, and the sum of the first six terms. - Shooter hit probability
The shooter fired 100 times at a target. He had four times as many hits as misses. 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 2 m 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?
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