Question

Problem (PLEASE HELP AND EXPLAIN)

Jamar wants to hire a plumber to fix his shower. The plumber informs him that 1 shower job requires 3 hours of work. The plumber charges $25 per hour, but he will only accept British Pounds as payment. Every British Pound is worth $1.62. How many British Pounds will Jamar need to pay the plumber for the shower job?
Which two units canceled?
Why is it important to cancel units when solving problems with multiple units? Use at least 2 complete sentences.

Answer 1

Answer:

$\sf \fbox{46.296 British Pounds}$

Step-by-step explanation:

1 shower job requires 3 hours of work,

plumber will fix only 1 shower that means he will work for 3 hours,

Charges of 1 hour = 25$

Charges of 3 hour = 25× 3 = 75$

The currency that plumber accept is British pound (£),

1 British pound (£) = 1.62 dollar ($)

x British pound = 75 dollar

$\frac{1}{x} = \frac{1.62}{75}$

taking reciprocal both the side,

$\frac{x \cancel £}{1\cancel£} = \frac{75 \: \cancel\ }{1.62 \:\cancel \ }$

$x = 46.296$

Jamar need to pay 46.296 British Pounds to plumber for the shower job.

The two units that were cancelled was Dollar & Pound.

It is required to cancel units because, mathematical operation does not work for different units. For e.g. If I have given two measurement one is volume(cm³) & another is length(cm) so I cannot add them.

$\sf Volume + Length = Not \: possible$

Same thing happens with division Operation of two different units, the magnitude gets cancelled but unit still remains there.

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