SOLUTION: Christine went shopping and bought each of her six nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $93.56 on the gifts. How many videos and how ma

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Christine went shopping and bought each of her six nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $93.56 on the gifts. How many videos and how ma      Log On

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Question 775271: Christine went shopping and bought each of her six nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $93.56 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 +v+ = number of video's she bought
Let +c+ = number of CD's she bought
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(1) +v+%2B+c+=+6+
(2) +14.95v+%2B+16.88c+=+93.56+
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(2) +1495v+%2B+1688c+=+9356+
Multiply both sides of (1) by +1495+
and subtract (1) from (2)
(2) +1495v+%2B+1688c+=+9356+
(1) +-1495v+-+1495c+=+-8970+
-----------------------------
+193c+=+386+
+c+=+2+
and, since
(1) +v+%2B+c+=+6+
(1) +v+=+6+-+2+
(1) +v+=+4+
4 = number of video's she bought
2 = number of CD's she bought
-------------
check:
(2) +14.95%2A4+%2B+16.88%2A2+=+93.56+
(2) +59.8+%2B+33.76+=+93.56+
(2) +93.56+=+93.56+
OK