Ivan saved $10 each day and Julie saved $
t more than Ivan each day. After 3 weeks, they were still short of $30 to buy a television set.
- How much did the television set cost? Express your answer in terms of t.
- If t = $16, how much did the television set cost?
(a)
Amount Ivan saved per day = $10
Amount Julie saved per day = $(10 +
t)
Total amount both saved per day
= 10 + 10 +
t = $(20 +
t)
Number of days in 3 weeks
= 3 x 7
= 21
Total both saved in 3 weeks
= 21(20 +
t)
= 21 x 20 + 21 x
t = $(420 + 21
t)
Cost of the television set
= 420 + 21
t + 30
= 420 + 30 + 21
t= $(450 + 21
t)
(b)
If
t = $16,
Cost of the television set
= 450 + 21 x 16
= 450 + 336
= $786
Answer(s): (a) $(450 + 21
t) or $(21
t + 450); (b) $786