Question

Vedika has 23.50 metres of cloth. She used it to make 5 curtains of equal size. If each curtain required 4 metres 25 cm to make, how much cloth is left over?

Answer 1

Total length of the cloth = 23.50 m

Length of cloth required to make each curtain = 4 m 25 cm = 4 m + 25 cm = 4 m + $\frac{25}{100}$ m = 4 m + 0.25 m = 4.25 m (1 m = 100 cm)

Number of curtains made of equal size = 5

∴ Length of cloth required to make 5 curtains = Length of cloth required to make each curtain × 5

= 4.25 m × 5

= $\frac{425}{100}\times \frac{5}{1}$

= $\frac{425\times 5}{100\times 1}$

= $\frac{2125}{100}$

= 21.25 m

∴ Amount of cloth left = Total length of the cloth − Length of cloth required to make 5 curtains

= 23.50 m − 21.25 m

= 2.25 m

$\begin{array}{cccccc}& 2& 3& .& {}^4\cancel{5}& {}^{10}\cancel{0}\\ -& 2& 1& .& 2& 5\\ & & 2& .& 2& 5\\ & & & & & \end{array}$
Thus, the length of the cloth left over is 2.25 m.