SOLUTION: 30 hours a week. Job A pays $5.90 per hour, and Job B pays $7.20 per hour. How many hours did she work at each job the week that she made $193.90?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 30 hours a week. Job A pays $5.90 per hour, and Job B pays $7.20 per hour. How many hours did she work at each job the week that she made $193.90?      Log On


   



Question 1030048: 30 hours a week. Job A pays $5.90 per hour, and Job B pays $7.20 per hour. How many hours did she work at each job the week that she made $193.90?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = hrs worked at job A
Let +b+ = hrs worked at job B
----------------------------
(1) +a+%2B+b+=+30+
(2) +5.9a+%2B+7.2b+=+193.9+
----------------------------
(2) +59a+%2B+72b+=+1939+
Multiply both sides of (1) by +59+ and
subtract (1) from (2)
(2) +59a+%2B+72b+=+1939+
(1) +-59a+-+59b+=+-1770+
-------------------------
+13b+=+169+
+b+=+13+
and
(1) +a+%2B+13+=+30+
(1) +a+=+17+
------------------
She worked 17 hrs at job A and 13 hrs at job B
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check:
(2) +5.9a+%2B+7.2b+=+193.9+
(2) +5.9%2A17+%2B+7.2%2A13+=+193.9+
(2) +100.3+%2B+93.6+=+193.9+
(2) +193.9+=+193.9+
OK