Ivan saved $11 each day and Jean saved $
j more than Ivan each day. After 4 weeks, they were still short of $30 to buy a massage chair.
- How much did the massage chair cost? Express your answer in terms of j.
- If j = $9, how much did the massage chair cost?
(a)
Amount Ivan saved per day = $11
Amount Jean saved per day = $(11 +
j)
Total amount both saved per day
= 11 + 11 +
j = $(22 +
j)
Number of days in 4 weeks
= 4 x 7
= 28
Total both saved in 4 weeks
= 28(22 +
j)
= 28 x 22 + 28 x
j = $(616 + 28
j)
Cost of the massage chair
= 616 + 28
j + 30
= 616 + 30 + 28
j= $(646 + 28
j)
(b)
If
j = $9,
Cost of the massage chair
= 646 + 28 x 9
= 646 + 252
= $898
Answer(s): (a) $(646 + 28
j) or $(28
j + 646); (b) $898