An electrician needs 3 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 3/4 of a roll of wire?

Answer:

He can wire

[tex] \frac{1}{4} [/tex]

of a room with 3/4 of a roll of wire.

Step-by-step explanation:

We can solve by using proportions.

Let's set it up.

[tex] \frac{3 \: rolls}{1 \: room} = \frac{ \frac{3}{4} \: of \: a \: roll}{x} [/tex]

We are now going to cross multiply. By cross-multiplting, you would get:

[tex] \frac{3}{4} = 3x[/tex]

You are now going to divide both numbers by 3 in order to get the x by itself.

[tex] \frac{ \frac{3}{4} }{3} = \frac{3x}{3} [/tex]

By dividing, you get:

[tex] \frac{1}{4} = x[/tex]

Therefore, the answer is 1/4.

The number of rooms he can wire with 3/4 of a roll of wire is 1/4.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, an electrician needs 3 rolls of electrical wire to wire each room in a house.

Let the number of rooms he can wire with 3/4 of a roll of wire be x.

Now, the proportion is

[tex]\frac{3}{1}=\frac{\frac{3}{4} }{x}[/tex]

3x=3/4

x=1/4

Therefor, number of rooms he can wire is 1/4.

To learn more about the proportions visit:

https://brainly.com/question/7096655.

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