SOLUTION: Eleanor is working her way through school. She works two part-time jobs for a total of 25 hours a week. Job A pays $6.50 per hour, and Job B pays $7.30 per hour. How many hours

Algebra ->  Square-cubic-other-roots -> SOLUTION: Eleanor is working her way through school. She works two part-time jobs for a total of 25 hours a week. Job A pays $6.50 per hour, and Job B pays $7.30 per hour. How many hours       Log On


   



Question 1030281: Eleanor is working her way through school. She works two part-time jobs for a total of 25 hours a week. Job A pays $6.50 per hour, and Job B pays $7.30 per hour. How many hours did she work at each job the week that she made $168.90.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = hours she worked at job A
Let +b+ = hours she worked at job B
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(1) +a+%2B+b+=+25+
(2) +6.5a+%2B+7.3b+=+168.9+
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(2) +65a+%2B+73b+=+1689+
Multiply both sides of (1) by +65+
and subtract (1) from (2)
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(2) +65a+%2B+73b+=+1689+
(1) +-65a+-+65b+=+-1625+
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+8b+=+64+
+b+=+8+
and
(1) +a+%2B+8+=+25+
(1) +a+=+17+
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She worked 17 hrs at job A
She worked 8 hrs at job B