Mark saved $12 each day and Dana saved $
g more than Mark 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 g.
- If g = $19, how much did the stereo system cost?
(a)
Amount Mark saved per day = $12
Amount Dana saved per day = $(12 +
g)
Total amount both saved per day
= 12 + 12 +
g = $(24 +
g)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(24 +
g)
= 42 x 24 + 42 x
g = $(1008 + 42
g)
Cost of the stereo system
= 1008 + 42
g + 32
= 1008 + 32 + 42
g= $(1040 + 42
g)
(b)
If
g = $19,
Cost of the stereo system
= 1040 + 42 x 19
= 1040 + 798
= $1838
Answer(s): (a) $(1040 + 42
g) or $(42
g + 1040); (b) $1838
