Question

Sophia was counting the number of crystals in 5 kg of sugar. Can you help her to find the number of crystals in 5 kg without actual counting if 12 kg of sugar contains $24\times {10}^4$ crystals?

• A. 2 x 10⁴
• B. 1 x 10⁵
• C. 2.4 x 10⁶
• D. 24 x 10²

Answer 1

The correct option is B

1 x 10⁵

$$\begin{array}{ccc}Weightofsugar& 12& 5\\ Numberofcrystals& 24\times {10}^4& y\end{array}$$
This situation follows direct proportionality.

$\frac{12}{24\times {10}^4}=\frac{5}{y}$

$y={10}^5$