Andy saved $9 each day and Dana saved $
d more than Andy each day. After 6 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 d.
- If d = $11, how much did the stereo system cost?
(a)
Amount Andy saved per day = $9
Amount Dana saved per day = $(9 +
d)
Total amount both saved per day
= 9 + 9 +
d = $(18 +
d)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(18 +
d)
= 42 x 18 + 42 x
d = $(756 + 42
d)
Cost of the stereo system
= 756 + 42
d + 32
= 756 + 32 + 42
d= $(788 + 42
d)
(b)
If
d = $11,
Cost of the stereo system
= 788 + 42 x 11
= 788 + 462
= $1250
Answer(s): (a) $(788 + 42
d) or $(42
d + 788); (b) $1250
