Question 92545
First, identify the following
Selena's hourly rate = {{{r[S]}}}
Percy's hourly rate = {{{r[P]}}}
Hours per week that Selena works {{{t[S]}}}
Hours per week that Percy works {{{t[P]}}}
At the very end of the problem, it says that their weekly pay is the same
That's the same as saying
{{{r[S]*t[S] = r[P]*t[P]}}}
You are given that {{{r[P] = 6}}} dollars per hour
and also {{{r[S] = r[P] + 2}}} dollars per hour
So {{{r[S] = 6 + 2}}}
{{{r[S] = 8}}} dollars per hour
Going back to
{{{r[S]*t[S] = r[P]*t[P]}}}
{{{8*t[S] = 6*t[P]}}}
Percy works 8 hours more per week than Selena, so
{{{t[P] = t[S] + 8}}}, so
{{{8*t[S] = 6*(t[S] + 8)}}}
{{{8*t[S] = 6*t[S] + 48}}}
{{{2*t[S] = 48}}}
{{{t[S] = 24}}}
and
{{{t[P] = t[S] + 8}}}
{{{t[P] = 32}}}
So, Percy works 32 hours per week
check answer:
{{{r[S]*t[S] = r[P]*t[P]}}}
{{{8*24 = 6*32}}}
{{{192 = 192}}}
OK