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