Asher saved $10 each day and Zoe saved $
r more than Asher each day. After 6 weeks, they were still short of $29 to buy a stereo system.
- How much did the stereo system cost? Express your answer in terms of r.
- If r = $18, how much did the stereo system cost?
(a)
Amount Asher saved per day = $10
Amount Zoe saved per day = $(10 +
r)
Total amount both saved per day
= 10 + 10 +
r = $(20 +
r)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(20 +
r)
= 42 x 20 + 42 x
r = $(840 + 42
r)
Cost of the stereo system
= 840 + 42
r + 29
= 840 + 29 + 42
r= $(869 + 42
r)
(b)
If
r = $18,
Cost of the stereo system
= 869 + 42 x 18
= 869 + 756
= $1625
Answer(s): (a) $(869 + 42
r) or $(42
r + 869); (b) $1625
