Question

$\text{A candle maker uses}\frac{16}{3}\text{kg of wax to make}N\text{identical candles weighing}\frac{4}{3}\text{kg each.}\text{The value of}N\text{is}$

• A. 4
• B. 3
• C. 1
• D. 2

Answer 1

The correct option is A 4

$\text{Total weight of the wax}=\frac{16}{3}\text{kg}$

$\text{Weight of each candle}=\frac{4}{3}\text{kg}$

$\therefore \text{Number of identical candles made}$

$\left(Totalweightofthewax\right)=÷\left(Weightofeachcandle\right)$

$=\frac{16}{3}\text{kg}÷\frac{4}{3}\text{kg}$

$\text{But, the number of identical candles}\text{made is}N$

$\therefore \frac{16}{3}\text{kg}÷\frac{4}{3}\text{kg}=N$

$\text{Now,}\frac{16}{3}÷\frac{4}{3}=N\text{is a}divisionequation.$

$\text{Finding the corresponding}multiplicationequation,\text{we get:}$

$\frac{4}{3}\times N=\frac{16}{3}$

$⟹\frac{4\times N}{3\times 1}=\frac{16}{3}$

$⟹4\times N=16$

$⟹N=4$

$\therefore \text{The value of}N\text{is 4}$