Equations practice problems - page 210 of 241
Number of problems found: 4811
- Unoccupied swallows
The swallows flew in and sat on the benches, one swallow on each bench, while one swallow did not miss an empty bench. If two swallows sat on each bench, one bench would remain unoccupied. How many swallows were there, and how many benches? - Repairman
The repairman has vowed to do repair work at the plant for 25 days. However, work had to be shortened, so he took a helper worker. Together, they made all the corrections for the whole day. How long would it take work to help workers? - Two masons
Two masons built the garage together—it took 18 days. If they worked independently, the other would have worked 15 days more than the first. How many days would it take each mason to build the garage alone? - Bricklayers
Eight bricklayers build a house for 630 days. How many bricklayers must be added after 150 days to complete the building in (next) 320 days? - Painters 4
One painter will do the job for 12 days. After a 4 1/3 day, he comes second to help him complete work together for eight days. How long would work the second painter himself? - School marks
Boris has a total of 22 marks. Ones have three times less than threes. There are two twos. How many have the ones and threes? - Primes 2
For what primes p,q,r is true: p²-(q+r)²=647 - Hiker and cyclist
At 7 PM hiker started at 6 km/h to hike. After three hrs. later started on the same trip cyclist at a speed of 15 km/h. After an hour of driving a flat tire and takes him half hour to correct the defect. At what time catch up cyclist with the hiker? - Buttons
The shirt has six buttons, and the blouse has four buttons. All buttons are 176. Shirts and blouses are together 36. How many shirts and blouses? - Number
What number do I think? The third is 6, and a half is two more than its quarter. - Tickets
The football tournament ticket cost 45 CZK for standing and 120 CZK for sitting. Sitting spectators were 1/3 more than standing. The organizers collected a total of 12300 CZK. How many seated and standing seats (spectators)? - Calculate 2310
Calculate the root of the equation: x - (- 250) = - 500 - Family
Mom is 39 years old. Karl is eight, and Paul is four. In many years, would the mother be old, just like two children together? - Reciprocal equation
Determine the root of the equation: 9/x-7/x=1 - Journey to school
On the way to school, I took a steady step. In the first half of the journey, I counted every second step, and in the second half, every third. How many steps did I take when I went to school? If I counted, double steps are 250 more than three steps? - Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled? - Trapezoid
The area of a trapezoid is 135 cm². The sides a, c, and height h are in a ratio of 6:4:3. How long are sides a, c, and height h? Perform calculation. - Johnny
Johnny bought 28 CZK flowers for mum. He spent 4/7 of the money saved. How much money had he saved? How much money was left him? - Chamber
In the chamber, light is broken, and all from it must be taken at random. Socks have four different colors. If you want to be sure of pulling at least two white socks, we have to bring them out 28 from the chamber. To have such certainty for the pair of g - Family
The family has four children. Ondra is three years older than Matthew, and Karlos 5 years older than the youngest Jane. We know that they have been together for 30 years, and three years ago, they were together for 19 years. Determine how old the children
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