Math Exercises: Matrix Word Problems 
There are 5,500 men, women and children altogether at the swimming pool. There are twice as many women as men and four times as many children as women. How many men, women and children are at the swimming pool ?
If one side of the triangle increases by 11 cm and the other side decreases by the same value, we get an equilateral triangle. When the first side is multiplied by four, it is 10 cm longer than three times the third side. Find the lengths of the triangle's sides.
If one dimension of the cuboid increases by 1 cm, the surface area of the cuboid increases by 54 cm^{2}. If the second dimension of the cuboid increases by 2 cm, the surface area of the cuboid increases by 96 cm^{2}. If the third dimension of the cuboid increases by 3 cm, its surface area increases by 126 cm^{2}. Find the dimensions of the cuboid.
The fourdigit number has a digit sum of 20. The sum of its last two digits is equal to its second digit increased by 5, the sum of its outer digits equals to its second digit decreased by 3. If we write the digits of the number in reverse order, the number increases by 2,178. Find the number.
A cylinder made out of the yellow copper has the weight of 6.297 kg and the volume of 750 cm^{3}. How many kilograms of copper and how many kilograms of zinc the cylinder contains ? (The density of copper is 8,900 kg/m^{3}, the density of zinc is 7,100 kg/m^{3}.)
By adding 30 kg of pure tin we have to prepare a bronze alloy made out of 75% of copper and 25% of tin. For our disposal we have a bronze alloy B made out of 85% of copper and 15% of tin. How many kilograms of the alloy B do we have to use ? How many kilograms of the alloy A will we obtain ?
Two containers contain a water of different temperatures. If we mix 240 g of water from the first container with 260 g of water from the second container, the resulting water temperature will be 52°C. If we mix 180 g of water from the first container with 120 g of water from the second container, the resulting water temperature will be 46°C. What is the temperature of water in the containers ?
How many grams of an 80% solution and how many grams of a 54% solution do we have to mix in order to obtain 100 g of a 60% solution ? (% is meant as by weight)
How many liters of a 30% solution and how many liters of a 50% solution do we have to mix in order to obtain 25 liters of a 42% solution? (% is meant as by volume)
The sulfuric acid consists of hydrogen, oxygen and sulfur, wherein the weight ratio of the hydrogen and the sulfur is 1:16 and the weight ratio of the oxygen and the sulfur is 2:1. How many of each element contains 1,323 grams of the acid ?
How many kilograms of iron and how many kilograms of sulfur contains 100 kg of FeS, if the relative atomic weight of iron is 56 and the relative atomic weight of sulfur is 32 ?
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