George saved $11 each day and Nora saved $
c more than George each day. After 6 weeks, they were still short of $28 to buy a massage chair.
- How much did the massage chair cost? Express your answer in terms of c.
- If c = $6, how much did the massage chair cost?
(a)
Amount George saved per day = $11
Amount Nora saved per day = $(11 +
c)
Total amount both saved per day
= 11 + 11 +
c = $(22 +
c)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(22 +
c)
= 42 x 22 + 42 x
c = $(924 + 42
c)
Cost of the massage chair
= 924 + 42
c + 28
= 924 + 28 + 42
c= $(952 + 42
c)
(b)
If
c = $6,
Cost of the massage chair
= 952 + 42 x 6
= 952 + 252
= $1204
Answer(s): (a) $(952 + 42
c) or $(42
c + 952); (b) $1204
