Ivan saved $12 each day and Gwen saved $
p more than Ivan each day. After 6 weeks, they were still short of $28 to buy a television set.
- How much did the television set cost? Express your answer in terms of p.
- If p = $6, how much did the television set cost?
(a)
Amount Ivan saved per day = $12
Amount Gwen saved per day = $(12 +
p)
Total amount both saved per day
= 12 + 12 +
p = $(24 +
p)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(24 +
p)
= 42 x 24 + 42 x
p = $(1008 + 42
p)
Cost of the television set
= 1008 + 42
p + 28
= 1008 + 28 + 42
p= $(1036 + 42
p)
(b)
If
p = $6,
Cost of the television set
= 1036 + 42 x 6
= 1036 + 252
= $1288
Answer(s): (a) $(1036 + 42
p) or $(42
p + 1036); (b) $1288
