Question

Architect Brian Peters spent 60% of a week's time working on drawings for a new apartment building. If Brian spent 18 hours working on projects other than the apartment building, compute the total hours worked

Answer 1

Answer:

Brian Peters worked for total of 45 hours.

Step-by-step explanation:

Let the total number of hours worked be 'x'.

Now Given:

Hours spent on other projects = 18 hours.

Also Given:

60% of a week's time working on drawings for a new apartment building.

Hours spent on new apartment building = $60\%\times x = \frac{60}{100}x=0.6x$

We need to find the total hours worked.

Solution:

Now we can say that;

total number of hours worked is equal to sum of Hours spent on new apartment building and Hours spent on other projects.

framing in equation form we get;

$x=0.6x+18$

Combining like terms we get;

$x-0.6x=18\\\\x(1-0.6)=18\\\\0.4x=18$

Now Dividing both side by 0.4 we get;

$\frac{0.4x}{0.4}=\frac{18}{0.4}\\\\x=45\ hrs$

Hence Brian Peters worked for total of 45 hours.