Sean saved $11 each day and Xandra saved $
t more than Sean each day. After 4 weeks, they were still short of $31 to buy a television set.
- How much did the television set cost? Express your answer in terms of t.
- If t = $9, how much did the television set cost?
(a)
Amount Sean saved per day = $11
Amount Xandra saved per day = $(11 +
t)
Total amount both saved per day
= 11 + 11 +
t = $(22 +
t)
Number of days in 4 weeks
= 4 x 7
= 28
Total both saved in 4 weeks
= 28(22 +
t)
= 28 x 22 + 28 x
t = $(616 + 28
t)
Cost of the television set
= 616 + 28
t + 31
= 616 + 31 + 28
t= $(647 + 28
t)
(b)
If
t = $9,
Cost of the television set
= 647 + 28 x 9
= 647 + 252
= $899
Answer(s): (a) $(647 + 28
t) or $(28
t + 647); (b) $899