Pierre saved $9 each day and Wendy saved $
w more than Pierre each day. After 5 weeks, they were still short of $32 to buy a stereo system.
- How much did the stereo system cost? Express your answer in terms of w.
- If w = $9, how much did the stereo system cost?
(a)
Amount Pierre saved per day = $9
Amount Wendy saved per day = $(9 +
w)
Total amount both saved per day
= 9 + 9 +
w = $(18 +
w)
Number of days in 5 weeks
= 5 x 7
= 35
Total both saved in 5 weeks
= 35(18 +
w)
= 35 x 18 + 35 x
w = $(630 + 35
w)
Cost of the stereo system
= 630 + 35
w + 32
= 630 + 32 + 35
w= $(662 + 35
w)
(b)
If
w = $9,
Cost of the stereo system
= 662 + 35 x 9
= 662 + 315
= $977
Answer(s): (a) $(662 + 35
w) or $(35
w + 662); (b) $977
