George saved $9 each day and Marion saved $
x more than George each day. After 3 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 x.
- If x = $4, how much did the massage chair cost?
(a)
Amount George saved per day = $9
Amount Marion saved per day = $(9 +
x)
Total amount both saved per day
= 9 + 9 +
x = $(18 +
x)
Number of days in 3 weeks
= 3 x 7
= 21
Total both saved in 3 weeks
= 21(18 +
x)
= 21 x 18 + 21 x
x = $(378 + 21
x)
Cost of the massage chair
= 378 + 21
x + 28
= 378 + 28 + 21
x= $(406 + 21
x)
(b)
If
x = $4,
Cost of the massage chair
= 406 + 21 x 4
= 406 + 84
= $490
Answer(s): (a) $(406 + 21
x) or $(21
x + 406); (b) $490
