System of equations - math word problems - page 52 of 107
Number of problems found: 2130
- Potatoes
For three days, the store sold 1400 kg of potatoes. On the first day, they sold 100 kilograms of potatoes less than on the second day. On the third day, three-fifths of what they sold the first day. How many kgs of potatoes are sold every day? - Fabric purchase calculation
Krejčová bought a total of 13 m of double-colored fabric for 1,037 euros. One meter of blue fabric costs 89 euros, and one meter of gray fabric costs 74 euros. How many meters of blue and how many meters of gray fabric did the seamstress buy? - Rectangle division perimeter
Divide a rectangle with sides 60 mm and 84 mm long into three rectangles with the same circumference. - Wallet note distribution
Mr. Novák had one hundred and fifty euro bills in his wallet. There were 21 in total, and their total value was 1550 euros. How many hundred-euro and how many fifty-euro notes did Mr. Novák have in his wallet? - Nine books
Nine books are to be bought by a student. Art books cost $6.00 each, and biology books cost $6.50 each. If the total amount spent was $56.00, how many of each book were bought? - Trip distance calculation
In three days, the students went 65 km on a trip. On the first day, they ran twice as much as on the third day, and on the second day, they ran 10 km less than on the first day. How many kilometers did they cover each day? - Rectangular garden
Divide a square garden with a perimeter of 124 m into two rectangular gardens, with the fence of one garden 10 m longer than the fence of the other. What dimensions will these rectangular gardens be? - Rectangle square division
The perimeter of the rectangle, which can be divided into three squares, is 168 cm. Determine the lengths of its sides. - Number sum division
The sum of the numbers is 878. If we divide the larger number by the smaller one, we get a ratio of 6 with the remainder of 17. What are the numbers? - Sand castle
Tim and Tom built a sand castle and embellished it with a flag. Half the pole with the flag plunged into the castle. The highest point of the pole was 80 cm above the ground, and its lowest point was 20 cm above the ground. How high was the sand castle? - Dromedaries
The zoo has ten camels, including bipedal camels (drabers) and single-humped camels (dromedaries). They have a total of 14 humps. Determine the number of auctioneers in the ZOO. - Cuboid Dimensions Sum Edges
The sum of the lengths of all block edges is 4m. The width is twice the length, and the height is seven times the width. Determine the dimensions of the block. Thank you luck - The treasury
Lucy has only two-crown and five-crown coins in her treasury. She has 30 coins worth 108 Czech crowns (CZK). How many two-crown and how many five-crown coins does she have? - Hares and pheasants
After the hunt, hares and pheasants lie in the field. There are a total of 80 heads and 190 feet. How many hares and how many pheasants? (please, without equations) - Society people distribution
There are men, women, and children in society. There are 3 times more men than women and 5 more children than women. If 6 more men and 6 women came, men would be half the company. How many women, men, and children are there? - Company Bonus Gender Percentage
One thousand employees work in the company. At the end of the year, 10% of all men and 20% of all women received bonuses. Thus, the company rewarded 14% of the total number of employees. How many men and women work in the company? - Luggage and air travel
Two friends traveling by plane had a total of 35 kg of luggage. They paid one 72 CZK and the second 108 CZK for being overweight. If only one paid for all the bags, it would cost 300 CZK. What weight of baggage did each of them have? How many kilograms of - Sum and ratio
The sum and ratio of two numbers are equal to 10. Which numbers are they? - Watering can
A watering can full of water weighs 11 kg. The weight of water is 10 kg greater than the weight of an empty watering can. How much is the weight of the watering can? - Rectangle Square Area Difference
In the given rectangle, the length is 12 m greater than the width. We get a square if we reduce the length by 10 m and increase the width by 2 m. The area of the original rectangle is 300 m² more than the area of the square. Determine the dimensions of th
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