Jenson saved $12 each day and Lucy saved $
p more than Jenson each day. After 5 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 = $18, how much did the hi-fi system cost?
(a)
Amount Jenson saved per day = $12
Amount Lucy saved per day = $(12 +
p)
Total amount both saved per day
= 12 + 12 +
p = $(24 +
p)
Number of days in 5 weeks
= 5 x 7
= 35
Total both saved in 5 weeks
= 35(24 +
p)
= 35 x 24 + 35 x
p = $(840 + 35
p)
Cost of the hi-fi system
= 840 + 35
p + 30
= 840 + 30 + 35
p= $(870 + 35
p)
(b)
If
p = $18,
Cost of the hi-fi system
= 870 + 35 x 18
= 870 + 630
= $1500
Answer(s): (a) $(870 + 35
p) or $(35
p + 870); (b) $1500
