Answer:
32 such pieces can be cut from the total length of gum.
Step-by-step explanation:
The total length of the gum = 6 ft
Now, 1 ft = 12 inches
So, 6 ft = 6 x 12 inches = 72 inches
Now, length of each piece = [tex]2\frac{1}{4}[/tex] inches = [tex]\frac{(2 \times 4) + 1}{4} = \frac{9}{4}[/tex] inches
So, to find the total number of pieces of desired length
Divide the total length of gum by the length of each piece.
or, n = [tex]\frac{72}{\frac{9}{4} } = \frac{72 \times 4}{9} = 32[/tex]
Hence, 32 such pieces can be cut from the total length of gum.