Saul works two part-time jobs. Last week, he worked 15 hours at a shoe store, and 21 hours as a telemarketer. His total pay was $289.50. The week before, he made $356.00 for 20 hours at the shoe store and 24 hours telemarketing. Find his hourly wage for each job.
+26397 Saul works two part-time jobs. Last week, he worked 15 hours at a shoe store, and 21 hours as a telemarketer. His total pay was $289.50. The week before, he made $356.00 for 20 hours at the shoe store and 24 hours telemarketing. Find his hourly wage for each job.
hourly wage in shoe store =ws
hourly wage in telemarket =wt
(1)20 h⋅ws+24 h⋅wt=$ 356.00|:45 h⋅ws+6 h⋅wt=$ 89.00(2)15 h⋅ws+21 h⋅wt=$ 289.50|:35 h⋅ws+7 h⋅wt=$ 96.50(2)−(1):5 h⋅ws+7 h⋅wt−5 h⋅ws−6 h⋅wt=$ 96.50−$ 89.005 h⋅ws−5 h⋅ws+7 h⋅wt−6 h⋅wt=$ 96.50−$ 89.007 h⋅wt−6 h⋅wt=$ 96.50−$ 89.001 h⋅wt=$ 7.50wt=$ 7.501 h5 h⋅ws+6 h⋅wt=$ 89.00|wt=$ 7.501 h5 h⋅ws+6 h⋅($ 7.501 h)=$ 89.005 h⋅ws+$ 45.00=$ 89.00|−$ 45.005 h⋅ws=$ 89.00−$ 45.005 h⋅ws=$ 44.00|:5 hws=$ 44.005 hws=$ 8.801 h
