System of equations - math word problems - page 33 of 110
Number of problems found: 2182
- The cost
The amusement ticket costs 250 pesos for children and 500 pesos for adults. On a certain day, attendance at the park is 2,000, and the total revenue is 750000 pesos. How many children and how many adults bought the tickets? - Two markers
Two markers and one eraser cost 35 pesos, and three markers and four erasers cost 65 pesos. Find the cost of a marker and an eraser. - If twice
If twice the daughter's age is added to the mother's age, the sum is 56. but if twice the mother's age is added to the daughter's age, the sum is 82. find the age of the mother and daughter. - Fabric purchase
The tailor's salon bought 130 meters of fabric for € 1,037. The meter of the first fabric costs € 8.90, and the meter of the second fabric costs € 7.40. Thus, they bought 130 meters of fabric for € 1,037. - Mushrooms
The mushroom picker had 110 mushrooms in the basket. He had 36 mushrooms less than cossacks. How many mushrooms did he bring if he only had cossacks and mushrooms in the basket? - The nuts
There are 159 nuts in two bags, 15 more in the first than in the second. How many nuts are in the bags? - Outside point
The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4? - Olympiad student
Sixty-two high school students took part in the Mathematical Olympiad. There were 7 fewer first-year students than sophomores, two-thirds of the number of third-year students, and 5 fourth-year students. How many students from each grade took part in the - Perpendicular legs PT
In a right triangle, one leg is 5 cm longer than the other leg. The hypotenuse is 150 mm. Calculate the lengths of the legs. - Sulfuric acid preparation
Laboratory assistant Eve is to prepare 0.5 liters of 30% sulfuric acid. It has 60% and 15% sulfuric acid ready. How many of which will he use in the solution? - The father The father is three times older than his son. 10 years ago, a father was seven times older than his son. How old are father and son?
- Cauliflower sales
Miss Cabbage sells vegetables in the market. Yesterday, she offered two types of cauliflower - a large one for 25 CZK and a small one for 15 CZK. In the morning, she sold 8 boxes of 20 heads of cauliflower and thus earned 3,270 CZK. How many large and how - Coffee
One kilogram of cheaper coffee costs CZK 150, and one kilogram of more expensive coffee costs CZK 200. We have to prepare a mixture of 35 kg of coffee for 180 CZK. How do we prepare the mixture (how many of which kind of coffee do we need)? - Candy mixture
In a luxury praline factory, they prepared 3.2 kg of a mixture of two types of candies for CZK 273 per 1 kg. Marzipan candies cost 345 CZK/kg and nougat 255 CZK/kg. How many kilograms of each type of candy were used? - The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers. - Children study cost
The parents have their 3 children at studies. They cost CZK 3,650 per month. Parents pay 350 CZK less per month for Lee than for Dennis and 400 CZK more for Eve than for Dennis. How many CZK per month will he pay for each of them? - Triangle angle
For the interior angles of a triangle, the angle β is twice as large, and the angle γ is three times larger than the angle α. Is this triangle right? - The bun
The bun costs CZK 2, and the rolls CZK 3.5. Hannah bought 22 pieces of bread, bought only buns and rolls, and paid CZK 65. how many rolls did she buy, and how many rolls? - Camel hump
There are one-humped and two-humped camels in the caravan going through the desert. The guide counted 28 heads and 45 humps. How many humpback camels are in the caravan? - Grandmother money distribution
Jane and Thomas received a total of 105 CZK from their grandmother. Jane got a third more than Thomas. How many crowns did everyone receive?
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