System of equations - practice for 13 year olds - page 23 of 45
Number of problems found: 888
- Exchanged 6256
Pupils exchanged pencils, erasers, and pens so that there were two pens for 15 pencils and three pencils for two erasers. How many erasers were there for one pen? - Soaps
Each box has the same number of soaps. A quarter of all boxes contain only white soaps, and in each of the remaining 120 boxes, there are always half the white soaps and half the green. White soaps total 1200. (a) the number of all soap boxes; (b) the sma - Two equations
Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5 - Sunflower 6230
Jana and Danka had a total of 125 sunflower seeds. When eating, Jana was smarter and ate 13 more seeds. They gave the last 6 seeds to the parrot. How many seeds did Jane eat, and how many did Dan eat?
- Calculate 6217
Calculate the larger of the two shields if you know that the smaller shield is a third of the larger one, and their sum is 48. - Consecutive 6174
Find three consecutive integers whose sum is -693. - Two melons
There are two melons in the box. Together they weigh 11 kg. The weight of green is 3 kilograms lower than three times the weight of yellow. What is the weight of a green melon? - 12 apples
Twelve apples and two loaves of bread cost 5.76, and 6 apples and three loaves of bread cost 7.68. How much is a loaf of bread? - Yellows 6118
Peter chose balls of two colors. The numbers of yellows and reds were in the ratio of 7:5, and the yellows were six more. How many did he have?
- Birthday 6092
Soňa and her aunt have a birthday, and her aunt is five times older than Soňa. When Soňa is a year younger than her aunt, her aunt will be eighty years old. How old is Sona now? - Perimeter of a rectangle
If the perimeter of a rectangle is 114 meters and the length is twice the width plus 6 meters, what are the length and width? - Circumference 6040
The picture shows a square net in which the side of one square is 1 cm long. Draw a rectangle with an area of 18 squares with a circumference of 22 cm. - Three-euro 6035
The boy bought stamps worth € 2 and € 3 worth, a total of € 65. Two euros was five times more than three-euro. How many marks were there? - Three-room 6033
There are three sizes of apartments in the new building on the housing estate. One-sixth of the total number of apartments are four-room apartments, and one-third of the rest are two-room apartments. There are 160 three-room apartments. How many four-room
- Investigation 6024
Kamil saved up to buy a new phone case, which cost CZK 390. He only put ten and twenty crowns in the cash box. After two months of investigation, he had 25 coins in his treasury. When he calculated the total value of all the coins, he found out that he st - Kilometers 5972
Pavlina went on a trip on a hiking trail at an average speed of 4 km/h. Dalibor followed her an hour later and hurried at a speed of 7 km/h. How many kilometers does Dalibor cover before he catches up with Pavlina? - Father and son
When I was 11, my father was 35 years old. Today, my father has three times more years than me. How old is she? - Kilometers 5928
The tourist traveled 78 km in three hours. For part of the journey, he traveled by bus at an average speed of 30 km/h, the rest, he walked at an average speed of 6 km/h. How long did he walk, and how many kilometers did he walk? - Oranges 5927
When you buy 3 kg of apples and 2 kg of oranges, we will pay € 12. When you buy 2 kg of apples and 4 kg of oranges, we pay € 16. How much does 1 kg of apples cost?
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