Equations practice problems - page 25 of 236
Number of problems found: 4709
- Green
The green combine harvests the field in 18 hours. If it works together with the red combine, they will harvest the field in 6 hours. How long would the red combine harvest alone work in the field?
- Isosceles
Isosceles trapezoid ABCD has a perimeter of 39 cm. The base AB is 7 cm longer than the base CD and the arm is 2 cm shorter than the base CD. Calculate the length of the base CD.
- Three numbers
The product of three natural numbers is 600. If we reduced one factor by 10, the product would decrease by 400. If we increased one factor by 5 instead, the product would increase to twice the original value. Which three numbers have this property?
- Unknown fraction
2/6 + fraction = 1
- Condensation
How many liters of water must be evaporated from 400kg of a 10% soda solution to get a 16% solution?
- A car acceleration
A car increased its speed from 21.6 km/h to 108 km/h on a 54 meter long track. Determine its acceleration, assuming that the motion is uniformly accelerated.
- Preparing the mixture
The seller prepared 25 kg of the mixture for 264 CZK per 1 kg. The first type was 180 CZK per 1 kg and the second was 390 CZK per kg. How much of each did he need?
- Received 84200
Jana received a new book. She wants to read it in 8 days. If she read 6 more pages a day, she would read the book two days earlier. How many pages does the book have?
- Kilometers 84199
Three friends, Jana, Janett, and Adriana, like to run. On Sunday they all went for a run. Jana ran twice as many kilometers as Žaneta. Adriana ran 3 kilometers more than Žaneta. How many kilometers did Adriana run if the friends ran 11 kilometers together
- Raspberry juice
How much will the scout leader pay for drinks for the children if a third of the children had a raspberry juice for 10 CZK, half of the children had sparkling water for 15 CZK, and the remaining 4 children had a kola for 20 CZK (CZK = Czech crowns)?
- A bicycle
Martin sold a bicycle at a profit of 10%. Had it been sold for 75 USD more, the profit would have been 16%. Find the cost price of the bicycle.
- Concert organizers
800 people came to the concert, a quarter more than the organizers expected. How many people did the organizers expect?
- Quarter 84177
We used one-quarter of the coal we bought, leaving us with 12 q. How much coal did we buy?
- Animals - pasture
There are a total of 195 animals on the pasture - sheep, goats, calves. There are half as many sheep as goats and twice as many calves. How many sheep are there on the pasture?
- Parking 84175
There are 96 cars in the parking lot. There are 24 fewer dark cars than light cars. How many light cars are there in the parking lot?
- A year ago
A year ago, Jano was twice as old as Lenka. In five years, Jano will be half as old as Lenka. How old is Lenka?
- Two workshops
Two workshops were supposed to produce 4000 sets of kitchen utensils together. After completing this task, it was found that the first workshop produced 534 sets more than was originally set for it, while the second workshop fulfilled its task by 80%. How
- Ratio 52
The ratio of the surface area of a cube to its volume is 2:1.Calculate: a) the length of the edge of the cube in cm b) the volume of the cube in cm³ c) the volume of the cube in cm2
- Four-digit number
Juraj is thinking of a four-digit number that he told us about: (a) Its digit sum is one hundredth of the number that I get by rounding the imaginary number to hundreds. (b) Its last digit is 1 more than the second-to-last. (c) The sum of its last two dig
- Princesses
Princesses Anna and Elsa are picking strawberries, which have ripened in huge quantities after a long winter. Anna can pick one bed in 120 minutes, and Elsa is faster and can finish an equally large bed in 15 minutes. How many minutes would it take the ro
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