Question

Pls help me solve this ​

Answer 1

4 kg of sugar would contain
`1.2 * 10^9` crystals.

Explanation:

Given that 3kg of sugar contains 9 × 10⁸ crystals, let "x" represent the number of sugar crystals 4kg of sugar would contain.

Thus, set up a proportion as follows:

3 kg : 9 × 10⁸ = 4 kg : x

`(3)/(9 * 10^8) = (4)/(x)`

Solve for x. Cross multiply.

`3 * x = 9 * 10^8 * 4`

`3x = 36 * 10^8`

`3x = 3.6 * 10^9`

Divide both sides by 3

`(3x)/(3) = (3.6 * 10^9)/(3)`

`x = 1.2 * 10^9`

4 kg of sugar would contain
`1.2 * 10^9` crystals.