Algebra - math word problems - page 222 of 303
Number of problems found: 6048
- Arithmetic 81808
An increasing arithmetic sequence has an odd number of terms. The middle term is 302. If we remove the 4 largest terms from the sequence, the middle term will be 296. Determine the difference in the sequence.
- Average 80654
On average, 100 liters of milk make 16 liters of cream, and 100 liters of cream make 20 liters of butter. How many liters of milk do we need for 100 liters of butter?
- Classmates 68744
Three classmates shared 710 balls, so the second got 20% more than the first and the third 35% more than the first. How many balls did the third of them get?
- Insert
Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence.
- Expression 3887
Determine what z equals in the expression 169^z = 2 · 6.5
- Simultaneously 18813
2 ships sail simultaneously towards each other from places 2340m apart. I sail both ships at a constant speed. The first boat travels 56m per minute, and the second 74m per minute. Create an equation that corresponds to the assignment of the task if the u
- Motorcycle 17343
Karel left for the cottage at 7:00 and his parents 20 minutes later. Everyone came to the chat at the same time. Karel rode a motorcycle at a speed of 20 km/h, and his parents drove a car at 1 km per minute. How far is the cottage from where they live? Wh
- Sarrah
Sarrah bought cupcakes for her family. Thirty-six cupcakes are chocolate, and the rest are red velvet. If 80% of all the cupcakes she bought are chocolate, how many red velvet cupcakes did she buy?
- Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217.
- Sparrow ball
On the sparrow's ball were males and females. There were 160 sparrows. Males were 24 more than females. How many sparrow females were at a ball?
- Two trains
The train runs at speed v1 = 72 km/h. The passenger sitting on the train observed that a train long l = 75m in 3 s passed on the other track in the opposite direction. Calculate the speed of this train.
- Destination 2894
The passenger train is 60 km from the destination station and runs at a steady speed of 54 km/h. How far will it be from the destination station in 45 minutes?
- Raffle
There are 200 draws in the raffle, but only 20 of them win. What is the probability of at least four winnings for a group of people who have bought five tickets together?
- Journey to spa
Mr. Dvorak took his wife to the spa, and the journey took 3.5 hours. On the way back, he drove 12 km/h faster and was home in 3 hours. At what speed did he go to the spa, and at what speed did he return?
- Train delay
Due to a breakdown, the train spent 16 minutes standing on the track behind Brno. He "eliminated" this delay, so after the start, the 80 km-long section went at a speed 10 km/h higher than originally planned. What speed was it, and what was it supposed to
- Two ports
From port A on the river, the steamer started at an average 12 km/h speed towards port B. Two hours later, another steamer departed from A at an average speed of 20 km/h. Both ships arrived in B at the same time. What is the distance between ports A and B
- 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?
- Sebastian
Sebastian walks at 6 km/h starting at 8:00 from Kovalov toward Kuty. From Kuty, the godfather drives at 50 km/h and starts at 8:30. The distance is 24 km. When and where will Grandfather take Sebastian to the car?
- Water temperatures
To 25 liters of water at 50 °C, we add 15 liters of water at a different temperature. How many °C should the water be colder than 50 °C so that 40 liters of the water obtained has a temperature of 42.5 °C?
- Kilograms 5998
What is the weight of an empty water tank, and how many kilograms of water is in it? If the total weight a) 192 kg, would it drop to 132 kg after a third of the water weight is drained? b) 107 kg would increase to 132 kg after adding a quarter of the curr
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