Problema 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. How many videos and how many CDs did she buy?

Answer provided by our tutors

v = number of videos

c = number of CDs

 

v + c = 10

14.95 v + 16.88c = 161.08

 

=>  v = 10 -c

 

=>  14.95(10 - c) + 16.88c = 161.08

149.50 - 14.95c + 16.88c = 161.08

149.50 + 1.93c = 161.08

1.93c = 11.58

 

c = 6

 

v + (6) = 10

 

v = 4

 

Christine bought 6 CDs and 4 videos.