Bryan saved $8 each day and Sarah saved $
a more than Bryan 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 a.
- If a = $3, how much did the television set cost?
(a)
Amount Bryan saved per day = $8
Amount Sarah saved per day = $(8 +
a)
Total amount both saved per day
= 8 + 8 +
a = $(16 +
a)
Number of days in 4 weeks
= 4 x 7
= 28
Total both saved in 4 weeks
= 28(16 +
a)
= 28 x 16 + 28 x
a = $(448 + 28
a)
Cost of the television set
= 448 + 28
a + 31
= 448 + 31 + 28
a= $(479 + 28
a)
(b)
If
a = $3,
Cost of the television set
= 479 + 28 x 3
= 479 + 84
= $563
Answer(s): (a) $(479 + 28
a) or $(28
a + 479); (b) $563