SOLUTION: Chris went shopping and bought her 9 nephews each a gift, either a video costing $14.95 or a CD costing $16.88. She spent $142.27 on gifts. How many videos and CD's did she buy?

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Question 666008: Chris went shopping and bought her 9 nephews each a gift, either a video costing $14.95 or a CD costing $16.88. She spent $142.27 on gifts. How many videos and CD's did she buy?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of videos bought
Let +b+ = number of CDs bought
given:
(1) +1495a+%2B+1688b+=+14227+ ( in cents )
(2) +a+%2B+b+=+9+
---------------
Multiply both sides of (2) by +1495+ and
subtract (2) from (1)
(1) +1495a+%2B+1688b+=+14227+
(2) +-1495a+-+1495b+=+-13455+
+193b+=+772+
+b+=+4+
and, since
(2) +a+%2B+4+=+9+
(2) +a+=+5+
She bought 5 videos and 4 CDs