System of equations - practice for 14 year olds - page 9 of 61
Number of problems found: 1210
- Swimming pool 6
We open the first pipe, and then after two hours, we open the second pipe without closing the first. The swimming pool will be filled with both pipes in 4 hours. If we open the first pipe itself, it will fill the pool 1.5 times faster than the second pipe - Chocolates 72154
Adam and Andrej bought sweets. Adam paid € 2.9 for three chocolates and 2 bars, and Andrej paid € 4 for four chocolates and 3 bars. How much did the chocolate cost, and how much did the bar cost? - František 72084
Peter and František are 102 years old. František is 12 years younger than Petr. How old is Peter? - Significant 71974
The difference of three times the two numbers is 33. The first number is 11, more significant than the second number. What is the value of the second number? - Construction 71794
Two different trucks together would bring the construction material in 6 hours. However, after 4 hours, the first car was transferred to another job, and the second one was driven for another 6 hours. How many hours would it take for the first car to deli - Calculate 71764
The angle at the base of an isosceles triangle is 18 ° larger than the angle at the central vertex. Calculate the size of the interior angles. - Kilograms 71754
In the fruit warehouse, they have white grapes for CZK 70 per kilogram and blue grapes for CZK 90 per kilogram. For the retail chain, 600 kg of a mixture of both types must be prepared so that one kilogram of the mixture costs CZK 85. How many kilograms o - Two alloys
Two alloys, Y and Z, are each made up of zinc, tin, and copper. In alloy Y, the ratio of zinc to tin is 2:5, and the ratio of copper to tin is 4:3. Find the ratio of copper:zinc:tin in alloy Y. - Divided 71124
We divided line AB into two parts in a ratio of 3:5. The longer part was 6 cm longer than the shorter part. How long in cm was the whole line? - Apples and bananas
If you pay $11 for one apple and nine bananas and $7 for three apples and one banana, how much do an apple and banana cost? - Positive 70974
The sum of two positive numbers is 2.5. A smaller number is four times smaller than a larger number. What is the value of a smaller number? - Individual 70944
The merchant ordered 62 boxes of cucumbers from a vegetable grower. He wants to take 38 more boxes than small ones. How many individual boxes of cucumbers did the merchant order? - Determine 70894
The two numbers are in a 3:4 ratio. Their product is 108. Determine the larger of them. - Calculate 70804
The garden is a right triangle fenced with a 364 m fence length. The shorter slope of the triangle is 26 m long. Calculate the area of this garden. - Peter 70794
Peter is x years old. Juraj is 2/5 older than Peter. They are 72 years old in total. How old is Peter, and how old is Juraj? - Fertilizer mixture
A fruit company uses two types of fertilizers in an orange grove, brand A and brand B. each bag of brand A contains 8 pounds of nitrogen and 4 pounds of phosphoric acid. Each bag of brand B contains 7 pounds of nitrogen and 6 pounds of phosphoric acid. Th - Calculate 70634
The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters. - Directions 70274
Two runners train on a circular track that is 375 m long. When they start from the same place and run in opposite directions, they meet in 30 seconds. When they run in the same direction, they are 15 m apart in 30 seconds. What is the average speed of eac - Kilograms 69724
The hardware store sold 1 kg of nails for CZK 400 and 1 kg of screws for CZK 800. How many kilograms of nails and how many screws did they sell if they sold a total of 5 kilograms and earned CZK 3,200. - Granddaughters' 69604
Grandma bought 200 ingredients. Granddaughter Lenka planted 20% more than granddaughter Danka. Granddaughter Eva planted 40 more seedlings than Danka. Granddaughter Zuzka planted 0.8 times more than Danka. How many seedlings did each of the granddaughters
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