Warehouses

To four warehouses is going cement in 25 kg bags. To first one third, to second quarter of the total. The third store got two thirds of the rest, and the last 310 tons came to fourth. How many cement is in all warehouses and how much got every one?

Correct answer:

t (total) =  2232 ton
m₁ =  744 ton
m₂ =  558 ton
m₃ =  620 ton
m₄ =  310 ton

Step-by-step explanation:

$$\begin{gathered} m_1+m_2+m_3+m_4=t \\ {\displaystyle \frac{t}{3}}+{\displaystyle \frac{t}{4}}+{\displaystyle \frac{2}{3}}(t-{\displaystyle \frac{t}{3}}+{\displaystyle \frac{t}{4}})+310=t \\ {\displaystyle \frac{5}{36}}t=310 \\ t=2232\text{ ton} \end{gathered}$$

$m_1={\displaystyle \frac{t}{3}}=744\text{ ton}$

$m_2={\displaystyle \frac{t}{4}}=558\text{ ton}$

$m_3={\displaystyle \frac{5}{12}}t=620\text{ ton}$

$m_4=310\text{ ton}$

Try another example

Related math problems and questions:

• Tons of coal
  Coal hopper has a capacity of 285 liters. How many tons is it? The bulk density of coal is 916 kg/m³.
• Farmers
  Farmers loaded into a truck of fruit and vegetables intended for the store. 10 boxes of 5 kg pears, 8 boxes of 6 kg plums, 7 boxes 9 kg of carrots and 10 bags of 50 kg of potatoes. How many kilograms of fruit and vegetables loaded in total? How many kg co
• Sales stores
  The first sales store passed the 1/3 and the second 2/5 of the total amount of goods.In third store passed the 2/3 rest of the goods. The remaining 40 kg of goods put into fourth store. How many kilograms of goods pass to a third store?
• Wood
  Wood cube with edge 11 cm weights 0.753 kg. What weight have 10, 100 and 1000 these cubes?
• Dairy
  Diary workers calculated according to the standards from the 108 litres of milk is possible to produce 9 kg cheese. How many tons of cheese was possible according to standards make from milk from 100 cows devoted for 30 days with average daily milk yield
• Can
  Watering can full of water weighs 10 kg. Half-full can weighs 5.5 kg. How much weigh can?
• Locomotive
  The whole loaded train weighs 760 tons. It has twenty wagons, each carrying 20 tons of grain and empty weighs 10 tons. How much weight a locomotive?
• Cooks
  Four cooks cleaned 5 kg of potatoes for 10 minutes. How many cook would have to work clean 9 kg of potatoes for 12 minutes?
• The bakery
  The bakery delivered 60 kg of bread to the store, the breads weighed 1 kg and 2 kg, a total of 35 pieces. How many loaves weighed 1 kg and how many were two-kilo loaves?
• Potatoes bags
  I have three bags with 21 kg potatoes. The first bag is 5.5 kg more than in the second bag and the third is 0.5 kg more than in the second bag. Determine how many kgs of potatoes is in each bag.
• Bag
  Nelly found interesting point. An empty bag weighs 4 kg less than full. And empty bag is 5 times easier than full. How many kg weigh things in this bag?
• Freight train
  Twenty-five identical freight wagons are connected behind the locomotive. The weight of the locomotive and all wagons is 1009000 kg. The locomotive weighs 84 tons. How many kilograms does one freight car weigh?
• One kilogram
  The apple weighs 125 grams and half apple. How many apples weigh 1 kilogram?
• Crown
  Siblings collect a 2-crowns and 5-crowns. Together have 80 coins with a total of value 310 crowns. How many saved two-crowns and how many five-crowns?
• Milk2cheese
  From 40 liters of milk is produced 8 kg of cheese how many liters of milk are needed to produce 2 kg of cheese?
• Apples
  Mr. Vesely give to the market his own 48 kg of apples, 40 kg from Mr. Kovar and 72 kg of Mr. Novak. Grossed a total of 1,920 CZK. How must divide income money for apples?
• Seeds
  The field has a rectangular shape with dimensions of 128 m and 350 m. How many kg of seed are needed for sowing if the 1 m² will consume 25 g of seeds?