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# Suppose 2 kg of sugar contains 9 X 10^6 crystals. How many sugar crystals are there in (i) 5 kg of sugar? (ii) 1.2 kg of sugar?

Q7. Suppose 2 kg of sugar contains crystals. How many sugar crystals are there in (i) 5 kg of sugar? (ii) 1.2 kg of sugar?

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Here given that 2 kg of sugar contains  crystals.

So, we have to find the number of crystals in 5 kg of sugar as well as in 1.2 kg of sugar:

As here we will assume that all crystals have the same dimensions i.e., length, breadth, and width. Then the weight of sugar follows the direct proportion with the number of crystals as increasing the number of crystals there will be an increase in the weight also.

(i) For 5 kg sugar:

let the number of crystals be 'x' then,

we have the relation:

, calculating x from this relation,

.

Therefore 5 kg of sugar contains  sugar crystals.

(ii) For 1.2 kg sugar:

Let the number of cystals be 'y' then,

we have the relation:

. calculating similarly for y we get

.

Therefore 1.2 kg of sugar contains  sugar crystals.

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