Archie saved $8 each day and Olivium saved $
i more than Archie each day. After 5 weeks, they were still short of $29 to buy a hi-fi system.
- How much did the hi-fi system cost? Express your answer in terms of i.
- If i = $19, how much did the hi-fi system cost?
(a)
Amount Archie saved per day = $8
Amount Olivium saved per day = $(8 +
i)
Total amount both saved per day
= 8 + 8 +
i = $(16 +
i)
Number of days in 5 weeks
= 5 x 7
= 35
Total both saved in 5 weeks
= 35(16 +
i)
= 35 x 16 + 35 x
i = $(560 + 35
i)
Cost of the hi-fi system
= 560 + 35
i + 29
= 560 + 29 + 35
i= $(589 + 35
i)
(b)
If
i = $19,
Cost of the hi-fi system
= 589 + 35 x 19
= 589 + 665
= $1254
Answer(s): (a) $(589 + 35
i) or $(35
i + 589); (b) $1254
