Sam saved $8 each day and Cindy saved $
w more than Sam each day. After 4 weeks, they were still short of $32 to buy a hi-fi system.
- How much did the hi-fi system cost? Express your answer in terms of w.
- If w = $4, how much did the hi-fi system cost?
(a)
Amount Sam saved per day = $8
Amount Cindy saved per day = $(8 +
w)
Total amount both saved per day
= 8 + 8 +
w = $(16 +
w)
Number of days in 4 weeks
= 4 x 7
= 28
Total both saved in 4 weeks
= 28(16 +
w)
= 28 x 16 + 28 x
w = $(448 + 28
w)
Cost of the hi-fi system
= 448 + 28
w + 32
= 448 + 32 + 28
w= $(480 + 28
w)
(b)
If
w = $4,
Cost of the hi-fi system
= 480 + 28 x 4
= 480 + 112
= $592
Answer(s): (a) $(480 + 28
w) or $(28
w + 480); (b) $592
