Tim saved $10 each day and Gem saved $
k more than Tim each day. After 6 weeks, they were still short of $32 to buy a massage chair.
- How much did the massage chair cost? Express your answer in terms of k.
- If k = $19, how much did the massage chair cost?
(a)
Amount Tim saved per day = $10
Amount Gem saved per day = $(10 +
k)
Total amount both saved per day
= 10 + 10 +
k = $(20 +
k)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(20 +
k)
= 42 x 20 + 42 x
k = $(840 + 42
k)
Cost of the massage chair
= 840 + 42
k + 32
= 840 + 32 + 42
k= $(872 + 42
k)
(b)
If
k = $19,
Cost of the massage chair
= 872 + 42 x 19
= 872 + 798
= $1670
Answer(s): (a) $(872 + 42
k) or $(42
k + 872); (b) $1670
