Ethan saved $8 each day and Emily saved $
m more than Ethan each day. After 6 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 m.
- If m = $8, how much did the stereo system cost?
(a)
Amount Ethan saved per day = $8
Amount Emily saved per day = $(8 +
m)
Total amount both saved per day
= 8 + 8 +
m = $(16 +
m)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(16 +
m)
= 42 x 16 + 42 x
m = $(672 + 42
m)
Cost of the stereo system
= 672 + 42
m + 28
= 672 + 28 + 42
m= $(700 + 42
m)
(b)
If
m = $8,
Cost of the stereo system
= 700 + 42 x 8
= 700 + 336
= $1036
Answer(s): (a) $(700 + 42
m) or $(42
m + 700); (b) $1036
