System of equations - practice for 14 year olds - page 31 of 61
Number of problems found: 1211
- Quadruple 7654
Triple and quadruple rooms are available in the cottage for 30 children. Rooms are occupied so that all beds are always occupied. Determine how many rooms the children will occupy in total if there are four times as many children in the four-bedroom rooms - Chickens and hares
There were chickens and hares in the yard. Together they had 22 heads and 54 legs. How many hens were there in the yard? - Shelves 7633
Juraj had music CDs and DVDs stored on the shelves. There are a total of 64. How many DVDs are on the shelf if there are seven times less than a CD? - Together 7606
Jana and Dana have saved 220 crowns together. Jana spent a fifth of her savings, Dana a quarter. Then they had a total of CZK 150 left. How much have they saved?
- Two cities
The car goes from city A to city B at an average speed of 70 km/h and back at an average speed of 50 km/h. If it goes to B and back at an average speed of 60 km/h, the whole ride will take 8 minutes less. What is the distance between cities A and B? - Temperature 7595
Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the t - Quadrilateral 7583
For the sizes of the interior angles of the quadrilateral ABCD, the following applies: the angle alpha is 26° greater than the angle beta, twice the angle Beta is 5° less than the angle gamma, and the angle gamma is 36° greater than the angle delta. Deter - Calculate 7572
At eight in the morning, a cyclist went from city K to city L. He stayed in city L for 4.25 hours and returned home at 3:00 p.m. Calculate the distance between cities K and L if the cyclist traveled to city L at a speed of 12 km/h and from city L to city - Employees
1116 people are working in three factory halls. In the first one, 18% more than the third, and 60 persons more than the second. How many employees work in individual halls?
- Repairing
Three employees earned a total of € 469 for repairing the equipment. They split so that the first got 20% more than the second, and the third 15% more than the second. How many euros did everyone get? - Difference 7509
The apartment on the first floor has an annual rent of 10% higher than the same apartment on the second floor. The difference in the yearly rent is €105. What are the annual rent for the apartment on the first floor and the apartment on the second floor? - Represent 7494
There are 12 more than boys, and the boys represent 30% of all pupils in the class. Find how many girls are in the class. - Three friends
Cuba, Matthew, and their friend Adam found a brigade during their weekend weekends because they wanted to make a joint trip to the Alps that they planned for spring break. Cuba enjoyed the skiing trip very much, so he was not lazy to get up and went to th - Two trains
Through the bridge, long l = 240m, the train passes through the constant speed at time t1 = 21s. A train running along the traffic lights at the edge of the bridge passes the same speed at t2 = 9s. a) What speed v did the train go? b) How long did a train
- Temperature 7477
The pool with a length of l = 50 m and a width of s = 15 m has a depth of h1 = 1.2 m at the shallowest part of the wall. The depth then gradually increases to a depth of h2 = 1.5 m in the middle of the pool. = 4.5 m walls in the deepest part of the pool. - Granddaughter's 7475
Grandma is five times older than her granddaughter today. 2 years ago, the grandmother was six years younger than six times her granddaughter's age. How old is Grandma today? - Father 7470
The father is eight years older than three times the son's age. In 20 years, the father will be twice as old as his son. How many years is a father, and how many are a son? - Around 7454
The same number of hens as sheep ran around the yard. They had a total of 168 feet. How many were sheep, and how many hens were there? - Shopping vegetables
John and his mother were shopping. My mother bought 2 kg of peaches and 5 kg of potatoes and paid CZK 173. The neighbor bought 3 kg of peaches and 4 kg of potatoes and paid CZK 186. How much did 1 kg of peaches and 1 kg of potatoes cost?
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