Ethan saved $8 each day and Tammy saved $
z more than Ethan each day. After 4 weeks, they were still short of $28 to buy a stereo system.
- How much did the stereo system cost? Express your answer in terms of z.
- If z = $5, how much did the stereo system cost?
(a)
Amount Ethan saved per day = $8
Amount Tammy saved per day = $(8 +
z)
Total amount both saved per day
= 8 + 8 +
z = $(16 +
z)
Number of days in 4 weeks
= 4 x 7
= 28
Total both saved in 4 weeks
= 28(16 +
z)
= 28 x 16 + 28 x
z = $(448 + 28
z)
Cost of the stereo system
= 448 + 28
z + 28
= 448 + 28 + 28
z= $(476 + 28
z)
(b)
If
z = $5,
Cost of the stereo system
= 476 + 28 x 5
= 476 + 140
= $616
Answer(s): (a) $(476 + 28
z) or $(28
z + 476); (b) $616
