Question

A wire 4 1/2 feet long is being cut into smaller pieces of wire, each 1 1/4 feet long. What is the maximum number of smaller pieces of wire that can be cut from the original piece of wire?

Answer 1

number of small pieces be X

A.T.Q

(11/4)x = 41/2

x = 41*4/2*11

x = 7.4

therefore 7 such pieces can be cut

Answer 2

The maximum number of smaller pieces of wire that can be cut from the original piece of wire is 4

Solution:

From given,

$\text{Total length of wire } = 4 \frac{1}{2} = \frac{9}{2} \\\\\text{Total length of wire } = 4.5\ feet$

Also,

$\text{Length of each small wire } = 1\frac{1}{4} = \frac{5}{2} \\\\\text{Length of each small wire } = 1.25\ feet$

What is the maximum number of smaller pieces of wire that can be cut from the original piece of wire?

$\text{Number of small pieces } = \frac{ \text{ total length of wire }}{ \text{ length of each small wire }} \\\\\text{Number of small pieces } = \frac{ 4.5}{1.25} \\\\\text{Number of small pieces } = 3.6 \approx 4$

Thus maximum number of smaller pieces of wire that can be cut from the original piece of wire is 4

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