Q:

Cody worked 16 hours last week at the grocery store. His friend Sophia worked 9 less than twice the number of hours that Cody did. If Cody made $156.80 and they both make the same hourly rate, how much did Sophia make?

Accepted Solution

A:
Answer:After working for 23 hours in grocery store, Sophia made $225.4.Step-by-step explanation:The number of hours Cody worked at grocery store = 16 hoursThe number of hours Sophia worked  = 2 ( Hours Cody worked) - 9 =  2 ( 16) - 9 = 23 hoursNow, for working 16 hours,Cody earned  = $156.80 So, the per hour earning of Cody = [tex]\frac{\textrm{Total payment he received for 16 hours}}{\textrm{16 hours}}[/tex]=[tex]\frac{156.80}{16}  = 9.8[/tex]or, the hour earning of Cody = $9.8⇒Now as Sophia has same hourly rare, so she earns $9.8 per hour. So, total earning after working  for 23 hours = 23 x ( Earning per hour)                                                                              = 23 x ($9.8)  = $225.4Hence, after working for 23 hours in grocery store, Sophia made $225.4.