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 = [tex]60\%\times x = \frac{60}{100}x=0.6x[/tex]
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;
[tex]x=0.6x+18[/tex]
Combining like terms we get;
[tex]x-0.6x=18\\\\x(1-0.6)=18\\\\0.4x=18[/tex]
Now Dividing both side by 0.4 we get;
[tex]\frac{0.4x}{0.4}=\frac{18}{0.4}\\\\x=45\ hrs[/tex]
Hence Brian Peters worked for total of 45 hours.
