Equations practice problems - page 26 of 247
Number of problems found: 4938
- Green
The green combine harvests a field in 18 hours. If it works together with the red combine, they harvest the field in 6 hours. How long would it take the red combine to harvest the field alone? - Isosceles
An isosceles trapezoid ABCD has a perimeter of 39 cm. Base AB is 7 cm longer than base CD, and each leg is 2 cm shorter than base CD. Calculate the length of base CD. - Three numbers
The product of three natural numbers is 600. If one factor is reduced by 10, the product decreases by 400. If another factor is increased by 5 instead, the product doubles. Which three numbers have this property? - Unknown fraction
2/6 + [missing fraction] = 1. What is the missing fraction? - Condensation
How many litres of water must be evaporated from 400 kg of a 10% soda solution to obtain a 16% solution? - A car acceleration
A car increased its speed from 21.6 km/h to 108 km/h over a 54-metre-long track. Determine its acceleration, assuming that the motion is uniformly accelerated. - Preparing the mixture
The seller prepared 25 kg of a mixture priced at 264 CZK per kg. The first type cost 180 CZK per kg and the second 390 CZK per kg. How much of each did he need? - Reading a Book Faster
Jana received a new book. She wants to read it in 8 days. If she read 6 more pages a day, she would finish the book two days earlier. How many pages does the book have? - Running Distances of Friends
Three friends, Jana, Jannet, and Adriana, like to run. On Sunday they all went for a run. Jana ran twice as many kilometres as Jannet. Adriana ran 3 kilometres more than Jannet. How many kilometres did Adriana run if the friends ran 11 kilometres in total - Raspberry juice
How much will the scout leader pay for drinks for the children, if a third of the children had raspberry juice for 10 CZK, half of the children had sparkling water for 15 CZK, and the remaining 4 children had kola for 20 CZK? - A bicycle
Martin sold a bicycle at a profit of 10%. Had it been sold for $75 more, the profit would have been 16%. Find the cost price of the bicycle. - Concert organizers
800 people came to the concert, which was a quarter more than the organisers had expected. How many people did the organisers expect? - Coal Used and Remaining
We used one quarter of the coal we bought, leaving us with 12 q. How much coal did we buy? - Animals - pasture
There are 195 animals in total on the pasture: sheep, goats, and calves. There are half as many sheep as goats and twice as many calves as goats. How many sheep are there on the pasture? - Counting Light Cars
There are 96 cars in a car park. There are 24 fewer dark-coloured cars than light-coloured cars. How many light-coloured cars are there in the car park? - A year ago A year ago, Jano was twice as old as Helen. In five years, Helen will be twice as old as Jano. How old is Helen now?
- Two workshops Two workshops were supposed to produce 4,000 sets of kitchen utensils together. After completing the task, it was found that the first workshop produced 534 sets more than originally planned for it, while the second workshop fulfilled its plan at 80%. How
- Ratio 52
The ratio of the surface area of a cube to its volume is 2:1. Calculate: a) the edge length of the cube in cm, b) the volume of the cube in cm³, c) the surface area of the cube in cm². - Four-digit number
George is thinking of a four-digit number and gives us the following clues: a) Its digit sum equals one hundredth of the number obtained by rounding the mystery number to the nearest hundred. b) Its last digit is 1 more than the second-to-last digit. c) T - 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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