Harry saved $12 each day and Natalie saved $
p more than Harry 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 p.
- If p = $15, how much did the hi-fi system cost?
(a)
Amount Harry saved per day = $12
Amount Natalie saved per day = $(12 +
p)
Total amount both saved per day
= 12 + 12 +
p = $(24 +
p)
Number of days in 4 weeks
= 4 x 7
= 28
Total both saved in 4 weeks
= 28(24 +
p)
= 28 x 24 + 28 x
p = $(672 + 28
p)
Cost of the hi-fi system
= 672 + 28
p + 30
= 672 + 30 + 28
p= $(702 + 28
p)
(b)
If
p = $15,
Cost of the hi-fi system
= 702 + 28 x 15
= 702 + 420
= $1122
Answer(s): (a) $(702 + 28
p) or $(28
p + 702); (b) $1122