System of equations - math word problems - page 32 of 107

Number of problems found: 2127

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)?
Kilograms 39911
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 39861
The parents have their 3 children at studies. They cost CZK 3,650 per month. Parents pay 350 CZK less per month for Libor than for Zdenek and 400 CZK more for Eva than for Zdenek. How many CZK per month will he pay for each of them?
Interior 39791
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. Hanka bought 22 pieces of bread, bought only buns and rolls, and paid CZK 65. how many rolls did she buy, and how many rolls?
One-humped 39761
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 39513
Jana and Tomáš received a total of 105 CZK from their grandmother. Jana got a third more than Tomáš. How many crowns did everyone receive?
Tourists
Tourists hire a guide. Everyone will pay the same amount. If there are two fewer of them, they will pay 14 crowns more, and if there are three more, they will pay 14 crowns less. How many tourists are there and how much have the guides paid?
Two houses
Twice as many people live in the first house as in the second house. Altogether, there are 81 of them living in both. How many people live in each house?
The theater
The Manila theater charged ticket prices: adults php 500, students php 250, and children below 12 are php 100. The theater collected a total of Php 100,000.00 from an audience of 250 people. What is a possible audience composition regarding the numbers of
Sequences AP + GP
The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, the second 4, and keep the third, we get the geometric series. Find AP and GP members.
Duo mix
One kilogram of meat of two colors is 650 g of pork, and the rest is chicken. One kilogram of pork is 40 CZK, which is more expensive than a kilogram of chicken. How many CZK (Czech crowns) cost one kilogram of chicken meat so that the price of one kilogr
Beginning 39061
Alena and Bára had 1,500 CZK saved together at the end of January. After Alena spent CZK 318 from her savings and Bára spent CZK 249 from her savings in February, Alena had twice as much CZK saved as Bára. How much money did they have at the beginning?
The family
How old is a mother if she is four times older than her daughter, and five years ago, she was even seven times older than her daughter? Today, a son is 30 years younger than a father. Seven years ago, a father was seven times older than a son. How old is
Alcohol solutions
We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of these will we use in the solution?
The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder.
Rotary cylinder
In the rotary cylinder, it is given: surface S = 96 cm² and volume V = 192 cm cubic. Calculate its radius and height.
Admission 38691
In one HA class, there were 8 more pupils in the first group than in the second group. After the admission of two new pupils to each of the groups, there were twice as many pupils in the 1st group as in the 2nd group. How many pupils were there in each gr
Two grandmothers
Two grandmothers went to the market to sell eggs, and they had 100. When they sold all the eggs, they made the same money. The first grandmother said to the second, "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmother replied

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