Cody saved $12 each day and Roshel saved $
z more than Cody each day. After 3 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 z.
- If z = $18, how much did the stereo system cost?
(a)
Amount Cody saved per day = $12
Amount Roshel saved per day = $(12 +
z)
Total amount both saved per day
= 12 + 12 +
z = $(24 +
z)
Number of days in 3 weeks
= 3 x 7
= 21
Total both saved in 3 weeks
= 21(24 +
z)
= 21 x 24 + 21 x
z = $(504 + 21
z)
Cost of the stereo system
= 504 + 21
z + 32
= 504 + 32 + 21
z= $(536 + 21
z)
(b)
If
z = $18,
Cost of the stereo system
= 536 + 21 x 18
= 536 + 378
= $914
Answer(s): (a) $(536 + 21
z) or $(21
z + 536); (b) $914
