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Answer:

The number of rooms that can be wire with available rolls is 6 rooms

Step-by-step explanation:

Given as :

The quantity of roll of electrical wire does electrician need = [tex]\dfrac{3}{4}[/tex] unit

Total quantity of wire rolls available = 4[tex]\dfrac{1}{2}[/tex] unit

i.e Total quantity of wire rolls available = [tex]\dfrac{9}{2}[/tex] unit

Let The number of rooms that can be wire with available rolls = n  rooms

Now, According to question

The number of rooms that can be wire with available rolls = [tex]\dfrac{Total quantity of wire rolls available}{quantity of roll of electrical wire does electrician need }[/tex]

i.e n = [tex]\frac{\frac{9}{2}}{\frac{3}{4}}[/tex]

Or, n = [tex]\frac{9\times 4}{2\times 3}[/tex]

Or, n = [tex]\frac{36}{6}[/tex]

∴  n = 6

So, The number of rooms that can be wire with available rolls = n = 6 rooms

Hence, The number of rooms that can be wire with available rolls is 6 rooms   . Answer