Question

A sack of rice had a weight of \[6.576kg\]. Harleen packed the rice equally into $12$ packets. She used $4$ packets of rice for cooking. How many kilograms of rice were left?

Answer 1

Hint:In the question, we have to find out the quantity of rice left. Total quantity of rice is given and said that they are equally distributed in 12 packets. We will have to divide the total quantity of rice by equivalent number of packets. Then multiply the resultant number by the number of packets of rice used for cooking to get the remaining quantity of rice by subtracting used rice from total rice.

Complete step-by-step answer:
As we know, total weight of rice in a sack = 6.576kg
Now,
Harleen packed the rice equally into 12 packets. thus,
Each packet had $ = \dfrac{{6.576}}{{12}}kg$of rice.
                               = $.548kg$
As we know $1kg = 1000gram$, so $.548kg \times 1000gram$
          \[\; = 548gram{\text{ }}of{\text{ }}rice.\]
Now, she used $4$ packets of
1 packet contains = 548 gram of rice.
$\therefore $4 packets contain $ = \left( {548 \times 4} \right)$ gram of rice
               \[{
   = 2192{\text{ }}gram{\text{ }}of{\text{ }}rice\; \\
  \;\; = 2.192{\text{ }}kg{\text{ }}of{\text{ }}rice. \\
} \]
Now, quantity of rice left is the difference of total quantity of rice & quantity of rice used for cooking
     \[= \text{Total amount of rice – amount of rice used}\]
     \[ = {\text{ }}\left( {6.576{\text{ }} - 2.192} \right){\text{ }}kg = 4.384kg\]\[ = {\text{ }}\left( {6.576{\text{ }} - 2.192} \right){\text{ }}kg = 4.384kg\]

Note:In the given question you can find the remaining quantity by multiplying the weight of rice in per packet with 8, because it is given that 4 packets are used and total packets are 12. So the remaining packet is (12-4) = 8. For this question, one should take care about the units. i.e., kg or gram. This question is related to the unitary method which is solved by finding out a single unit and then finding the necessary value by multiplying the single unit value.