SOLUTION: fareed earned rs.36000 by working a part time for 9 months and full time for 2 months.at the same monthly wages ghyas earned Rs.31200 by working part time for 10 months and full ti

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Question 697410: fareed earned rs.36000 by working a part time for 9 months and full time for 2 months.at the same monthly wages ghyas earned Rs.31200 by working part time for 10 months and full time for 1 month.find the monthly wages for each type of work. ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = part-time rate of pay
Let +f+ = full-time rate of pay
given:
Fareed:
(1) +36000+=+9p+%2B+2f+
Ghyas:
(2) +31200+=+10p+%2B+1f+
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Multiply both sides of (2) by +2+
and subtract (1) from (2)
(2) +62400+=+20p+%2B+2f+
(1) +-36000+=+-9p+-+2f+
+26400+=+11p+
+p+=+2400+
and, since
(2) +31200+=+10p+%2B+1f+
(2) +31200+=+10%2A2400+%2B+1f+
(2) +f+=+31200+-+24000+
(2) +f+=+7200+
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full-time wages are rs. 7200 /month
part-time wages are rs. 2400 /month
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check:
(1) +36000+=+9p+%2B+2f+
(1) +36000+=+9%2A2400+%2B+2%2A7200+
(1) +36000+=+21600+%2B+14400+
(1) +36000+=+36000+
OK