Tom saved $12 each day and Esther saved $
p more than Tom 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 p.
- If p = $4, how much did the hi-fi system cost?
(a)
Amount Tom saved per day = $12
Amount Esther 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 + 29
= 840 + 29 + 35
p= $(869 + 35
p)
(b)
If
p = $4,
Cost of the hi-fi system
= 869 + 35 x 4
= 869 + 140
= $1009
Answer(s): (a) $(869 + 35
p) or $(35
p + 869); (b) $1009
