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 166.87 on the gifts. How many videos and how many C

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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 166.87 on the gifts. How many videos and how many C      Log On


   

Question 891376: 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 166.87 on the gifts. How many videos and how many CDs did she buy?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
x for videos
y for CD's

Ten nephews means ten gifts, so x+y=10. That accounts for number of gifts.

14.95x+16.88y=166.87 accounts for the cost of the ten gifts.

y=10-x;
14.95x%2B16.88%2810-x%29=166.87
14.95x%2B168.8-16.88x=166.87
%2814.95-16.88%29x=166.87-168.8
Multiply both sides by -1.
%2816.88-14.95%29x=68.8-66.87
1.93x=1.93
highlight%28x=1%29; and the value for y is obvious.