## Task 1 - 190521

In a consumer sales outlet, exactly four different types of washing powder, $A, B, C$, and $D$, are offered. In total, there are 900 packages of washing powder in the warehouse of the sales outlet; each package contains $250 \mathrm{~g}$.

One third of the total warehouse stock of washing powder is of type $A$. One quarter of the remaining stock is of type $B$. The number of packages of type $C$ in the warehouse is the same as the number of packages of type $D$.

a) How many packages are in the warehouse for each of the four types?

b) How many kilograms of washing powder are contained in the packages in total?
a) For variety $A$, the warehouse stock is 300 packages because $900: 3=300$.

For variety $B$, the stock is 150 packages because $900-300=600$ and $600: 4=150$.

For varieties $C$ and $D$, the stock is 225 packages each because $600-150=450$ and $450: 2=225$.

b) Because $250 \cdot 900=225000$ and $225000 \mathrm{~g}=225 \mathrm{~kg}$, the total amount of detergent contained in the packages is $225 \mathrm{~kg}$.