Asher saved $12 each day and Gem saved $
g more than Asher each day. After 3 weeks, they were still short of $28 to buy a hi-fi system.
- How much did the hi-fi system cost? Express your answer in terms of g.
- If g = $2, how much did the hi-fi system cost?
(a)
Amount Asher saved per day = $12
Amount Gem saved per day = $(12 +
g)
Total amount both saved per day
= 12 + 12 +
g = $(24 +
g)
Number of days in 3 weeks
= 3 x 7
= 21
Total both saved in 3 weeks
= 21(24 +
g)
= 21 x 24 + 21 x
g = $(504 + 21
g)
Cost of the hi-fi system
= 504 + 21
g + 28
= 504 + 28 + 21
g= $(532 + 21
g)
(b)
If
g = $2,
Cost of the hi-fi system
= 532 + 21 x 2
= 532 + 42
= $574
Answer(s): (a) $(532 + 21
g) or $(21
g + 532); (b) $574
