Sam saved $11 each day and Dana saved $
n more than Sam each day. After 2 weeks, they were still short of $31 to buy a stereo system.
- How much did the stereo system cost? Express your answer in terms of n.
- If n = $15, how much did the stereo system cost?
(a)
Amount Sam saved per day = $11
Amount Dana saved per day = $(11 +
n)
Total amount both saved per day
= 11 + 11 +
n = $(22 +
n)
Number of days in 2 weeks
= 2 x 7
= 14
Total both saved in 2 weeks
= 14(22 +
n)
= 14 x 22 + 14 x
n = $(308 + 14
n)
Cost of the stereo system
= 308 + 14
n + 31
= 308 + 31 + 14
n= $(339 + 14
n)
(b)
If
n = $15,
Cost of the stereo system
= 339 + 14 x 15
= 339 + 210
= $549
Answer(s): (a) $(339 + 14
n) or $(14
n + 339); (b) $549
