System of equations - math word problems - page 91 of 103
Number of problems found: 2041
- Tank 9
The tank with volume V is filled with one pump for three hours and by the second pump for 5 hours. When both pumps run simultaneously, calculate: a) how much of the total volume of the tank is filled in one hour b) for how long is the tank full
- Classs mean
The class size is 30 students. Math was not worse than mark 2. Find the number of pupils who were marked one if the class had a 1.4 average mark.
- Three siblings
Three siblings have a birthday in one day-today. Together they have 35 years today. The youngest is three years younger than the middle, and the oldest is five years older than the middle. How old is each?
- Two numbers
Determine the numbers x and y, so x + y = 8 is true, and the numbers are in the ratio of 4:5.
- Three numbers
Find three numbers so that the second number is four times greater than the first and the third is lower by five than the second number. Their sum is 67.
- Friends
Some friends had to collect the sum of 72 EUR equally. If the three refused their part, others would have to give each 4 euros more. How many are friends?
- Cuboid - complicated
Three walls of the same cuboid have an area of 6 cm², 10 cm², and 15 cm². Calculate the volume of the cuboid.
- Water pool
A pool with a volume of 990 hl is completely filled if water flows by one tap for 8 hours and by the second tap for 6 hours. The first tap gives 10hl more than a second per hour. How many hl flows in each of them in an hour?
- Pages of book
Lenka calculated that if every day read 16 pages of the book, and read a book a day earlier, then she had read only 14 pages a day. How many pages has this book?
- Buttercups 2031
Paul has eight dry mushrooms, 1/2 fewer oaks, and cossacks, five times more than buttercups. Cossacks and buttercups have a total of 3 times more than dry mushrooms. How many mushrooms do they have together? And how many buttercups and how many Cossacks?
- Water container
The container with water weighs 1.48 kg when we cast 75% of the water content of water weight 0.73 kg. How heavy is an empty container?
- RT leg and perimeter
The right triangle ABC with hypotenuse c has the length of a leg a= 84 and the perimeter of the triangle o = 269. Calculate the size of the sides of the triangle ABC.
- Coffee shop
The coffee shop brought two types of coffee total of 50 kg. The first type was CZK 220 per kilogram, and the second type was 300 CZK per 1 kg. All the coffee traders earned CZK 12,000. How many kilograms of coffee of the first type and how many kilograms
- Water reservoir
The water reservoir is filled through one inlet 4 hours later than both, then another 9 hours later. For how long is each filled out separately?
- Rabbit family
The rabbit family ate 32 pieces of carrots. The small one ate six pieces, and the dad five more than the mother. How many pieces did Mom eat?
- Height of the arc - formula
Calculate the arc's height if the arc's length is 65 and the chord length is 33. Does there exist a formula to solve this?
- Borrowed book
Jane must, as soon as possible, return a borrowed book. She figured that reading 15 pages a day return the book in time. Then she read 18 pages a day and then returned the book one day before. How many pages should a book have?
- Vacation
Parents are piggybacking their children on vacation to their grandmother and grandfather in a city that is 150 kilometers away. They agreed to meet halfway. Parents will travel at 90 km/h, and grandmother and grandfather will travel at 60 km/h. Parents de
- Three friends
Divide 570 euros among three friends so that the first gets 50 euros less than the second and the third twice more than the first. How many euros will everyone get?
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