Question

An electrician needs 3 1/4 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 9 1/4 rolls of wire

Answer 1

Number of rooms can be wired by electrician is approximately 3

Solution:

Given that electrician needs $3\frac{1}{4}$ rolls of electrical wire to wire each room in a house

To find: number of rooms can he wire with $9\frac{1}{4}$ rolls of wire

From given information,

Rolls of wire needed for 1 room = $3\frac{1}{4} = \frac{4 \times 3 + 1}{4} = \frac{13}{4}$

Total rolls of wire = $9\frac{1}{4} = \frac{4 \times 9 + 1}{4} = \frac{37}{4}$

So number of rooms can be wired:

$\text{ number of rooms }=\frac{\text{ total rolls of wire}}{\text{ wire needed for 1 room}}$

$\text{ number of rooms } = \frac{\frac{37}{4}}{\frac{13}{4}} = \frac{37}{4} \times \frac{4}{13} = \frac{37}{13}$

$\rightarrow\frac{37}{13} = 2.84 \approx 3$

Thus number of rooms can be wired is $\frac{37}{13}$ or approximately 3 rooms