Tom saved $11 each day and Gillian saved $
n more than Tom each day. After 3 weeks, they were still short of $32 to buy a television set.
- How much did the television set cost? Express your answer in terms of n.
- If n = $7, how much did the television set cost?
(a)
Amount Tom saved per day = $11
Amount Gillian saved per day = $(11 +
n)
Total amount both saved per day
= 11 + 11 +
n = $(22 +
n)
Number of days in 3 weeks
= 3 x 7
= 21
Total both saved in 3 weeks
= 21(22 +
n)
= 21 x 22 + 21 x
n = $(462 + 21
n)
Cost of the television set
= 462 + 21
n + 32
= 462 + 32 + 21
n= $(494 + 21
n)
(b)
If
n = $7,
Cost of the television set
= 494 + 21 x 7
= 494 + 147
= $641
Answer(s): (a) $(494 + 21
n) or $(21
n + 494); (b) $641