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:

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

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

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

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

$m_4=310\text{ ton}$

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