14. John needed 13.71 feet of wire to fix a lamp. He bought [tex]14 \frac{1}{2}[/tex] feet of wire at the hardware store. How much wire did he have left over after fixing the lamp?

A. [tex]\frac{3}{4} \text{ ft}[/tex]
B. 0.29 ft
C. 0.81 ft
D. 1.29 ft
E. 0.79 ft



Answer :

Sure, let's tackle the problem step by step.

John needed 13.71 feet of wire to fix a lamp. He bought 14.5 feet of wire at the hardware store. To find out how much wire he had left over after fixing the lamp, we need to subtract the amount of wire he used from the amount he bought.

1. Amount of wire bought: 14.5 feet
2. Amount of wire needed: 13.71 feet
3. Leftover wire: The difference between the wire bought and the wire needed.

[tex]\[ \text{Leftover wire} = \text{wire bought} - \text{wire needed} \][/tex]

[tex]\[ \text{Leftover wire} = 14.5 \, \text{feet} - 13.71 \, \text{feet} \][/tex]

Performing the subtraction:

[tex]\[ 14.5 - 13.71 = 0.79 \, \text{feet} \][/tex]

Hence, John has 0.79 feet of wire left over after fixing the lamp.

The correct answer is:

E. [tex]\(0.79 \, \text{ft}\)[/tex]
To find out how much wire John has left over, we need to perform the following calculations:

1. Convert \( 14 \frac{1}{2} \) feet to a decimal.
2. Subtract the amount of wire John needed (13.71 feet) from the amount of wire he bought.

First, convert \( 14 \frac{1}{2} \) to a decimal:
\[ 14 \frac{1}{2} = 14 + 0.5 = 14.5 \text{ feet} \]

Next, subtract the amount of wire John needed from the amount he bought:
\[ 14.5 - 13.71 = 0.79 \text{ feet} \]

So, the amount of wire John has left over is \( 0.79 \) feet.

The correct answer is: E. 0.79 ft

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