SOLUTION: Christine went shopping and bought each of her ten nephews a​ gift, either a video costing​ $14.95 or a CD costing​ $16.88. She spent ​$161.08 on the gifts.

Algebra ->  Equations -> SOLUTION: Christine went shopping and bought each of her ten nephews a​ gift, either a video costing​ $14.95 or a CD costing​ $16.88. She spent ​$161.08 on the gifts.      Log On


   



Question 1130625: Christine went shopping and bought each of her ten nephews a​ gift, either a video costing​ $14.95 or a CD costing​ $16.88. She spent ​$161.08 on the gifts. How many videos and how many CDs did she​ buy?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the number of nephews who
were bought a CD
+10+-+x+ = the number who were bought a video
--------------------------------------------------------
+16.88x+%2B+14.95%2A%28+10+-+x+%29+=+161.08+
+16.88x+%2B+149.5+-+14.95x+=+161.08+
+1.93x+=+11.58+
+x+=+6+
also:
+10+-+x+=+4+
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She bought 6 CDs and 4 videos
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check:
+16.88x+%2B+14.95%2A%28+10+-+x+%29+=+161.08+
+16.88%2A6+%2B+14.95%2A4+=+161.08+
+101.28+%2B+59.8+=+161.08+
+161.08+=+161.08+
OK