Question

Suppose 2 kg of sugar contains 9106 crystals. How many sugar crystals are there in
5 kg of sugar?
1.2 kg of sugar?

Answer 1

Hint: To solve this question, we can use the unitary method as for any specific value corresponding to some other value, so that it can be changed to a unit value corresponds to what value, effectively we all can multiply with the unit value with the number of times according to the question.

Complete step-by-step answer:
Given, 2 kg of sugar contains 9106 crystals.
In the first question we need to find how much sugar crystals are there in 5 kg of sugar.
Use unitary method now,
As, 2 kg of sugar contains 9106 crystals.
So,
1 kg of sugar will contain $\dfrac{{9106}}{2}$ crystals that will be equal to 4553 crystals.
Therefore, in the 5 kg of sugar there will be $5 \times 4553$ crystal that will be equal to 22765.
So, 5 kg of sugar contains 22765 crystals.
In the second question we need to find how much sugar crystals are there in 1.2 kg of sugar.
Use unitary method now,
As, 2 kg of sugar contains 9106 crystals.
So,
1 kg of sugar will contain $\dfrac{{9106}}{2}$ crystals that will be equal to 4553 crystals.
Therefore, in the 1.2 kg of sugar there will be $1.2 \times 4553$ crystal that will be equal to 5463.6.
So, 1.2 kg of sugar contains 5463.6 crystals.

Note: This question can also be solved with the help of the concept of direct proportion, It can be observed that when the value of something is increasing or decreasing, simultaneously the associated value also increases or decreases in such a way that the ratio these two quantities does not change; it remains constant. We say that these two quantities are in direct proportion.