Question

Would love some help. Easy points. I can't believe I don't know this. Thanks.

Answer 1

r = Julio's hourly rate

1.4 * r = Julios over 30 hours rate.

last week he worked 30 hours at regular rate, 30r, and 5 extra hours at 1.4r, we happen to know all that is really $436.60.

$\bf 436.6=\stackrel{\stackrel{\textit{30 hours}}{\textit{regular rate}}}{30r}+\stackrel{\stackrel{\textit{5 hours}}{\textit{overtime rate}}}{5(1.4r)}\implies 436=30r+7r\\\\\\436.6=37r\implies \cfrac{436.6}{7}=r\implies 62.37148571\approx r$

b = Maggie's brother's age

m = Maggie's age

$\bf \stackrel{\textit{Maggie's brother}}{\boxed{b}}=\stackrel{\textit{3 less than twice \underline{m}}}{2m-3}\hspace{10em}\stackrel{\textit{their sum is 24}}{b+m=24}\\\\ \rule{31em}{0.25pt}\\\\ b+m=24\implies \boxed{2m-3}+m=24\implies 3m=27 \\\\\\ m=\cfrac{27}{3}\implies m=9$