SOLUTION:Carmen currently works 30 hours per week at her part-time job. If her gross hourly wage were to increase by $1.50, how many fewer hours could she work per week and still earn the same gross weekly pay as before the increase?
be Carmen's gross hourly wage and t
be the number of hours fewer Carmen will need to work. We need to find such t
(1) Her gross weekly pay is currently $225.00 --> 30w=225
--> we can find w
, so in 30w=(30-t)(w+1.5)
we'll be left with only one unknown: t
, which means that we can solve for it. Sufficient.
(2) An increase of $1.50 would represent an increase of 20 percent of her current gross hourly wage --> 1.5=0.2w
. The same here: we can find w
, so we can find t
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