Question

A tailor has 6 feet of purple cloth and 4 feet of black cloth. If he cuts both pieces of cloth into pieces that measure
12 feet each, how many pieces of cloth will he get in total?

• A. 20
• B. $12\frac{1}{2}$
• C. $10\frac{1}{2}$

Answer 1

The correct option is A 20

Length of purple cloth = 6 ft
Length of each purple cloth piece after the tailor cuts it = $\frac{1}{2}$ ft
Number of smaller purple cloth pieces
$=6÷\frac{1}{2}$
$=6\times \frac{2}{1}$ (Taking the reciprocal of the second fraction)
= 12
Length of black cloth = 4 ft
Length of each black cloth piece after the tailor cuts it $=\frac{1}{2}$ ft
Number of smaller black cloth pieces
$=4÷\frac{1}{2}$
$=4\times \frac{2}{1}$ (Taking the reciprocal of the second fraction)
= 8
Total number of smaller cloth pieces = 12 + 8 = 20 pieces.