Ken saved $9 each day and Sabrina saved $
c more than Ken each day. After 2 weeks, they were still short of $29 to buy a hi-fi system.
- How much did the hi-fi system cost? Express your answer in terms of c.
- If c = $14, how much did the hi-fi system cost?
(a)
Amount Ken saved per day = $9
Amount Sabrina saved per day = $(9 +
c)
Total amount both saved per day
= 9 + 9 +
c = $(18 +
c)
Number of days in 2 weeks
= 2 x 7
= 14
Total both saved in 2 weeks
= 14(18 +
c)
= 14 x 18 + 14 x
c = $(252 + 14
c)
Cost of the hi-fi system
= 252 + 14
c + 29
= 252 + 29 + 14
c= $(281 + 14
c)
(b)
If
c = $14,
Cost of the hi-fi system
= 281 + 14 x 14
= 281 + 196
= $477
Answer(s): (a) $(281 + 14
c) or $(14
c + 281); (b) $477
