SOLUTION: christine went shopping and bought each of her seven nephews a gift, either a video costing $14.95 or a cd costing $16.88 she spent $114.30 on the gift. how many videos and how ma

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Question 945466: christine went shopping and bought each of her seven nephews a gift, either a video costing $14.95 or a cd costing $16.88 she spent $114.30 on the gift. how many videos and how many cds did she buy
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Let V=number of videos, C=number of CDs
V+C=7; V=7-C
$14.95V+$16.88C=$114.30 Substitute for V
$14.95(7-C)+$16.88C=$114.30
$104.65-$14.95C+$16.88C=$114.30 Subtract $104.65 from each side
$1.93C=$9.65 Divide each side by $1.93
C=5 ANSWER 1: She bought 5 CDs
V=7-C=7-5=2 ANSWER 2: She bought 2 videos
CHECK
$14.95(V)+$16.88(C)=$114.30
$14.95(2)+$16.88(5)=$114.30
$29.90+$84.40=$114.30
$114.30=$114.30