Charlie saved $8 each day and Fanny saved $
j more than Charlie each day. After 5 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 j.
- If j = $17, how much did the television set cost?
(a)
Amount Charlie saved per day = $8
Amount Fanny saved per day = $(8 +
j)
Total amount both saved per day
= 8 + 8 +
j = $(16 +
j)
Number of days in 5 weeks
= 5 x 7
= 35
Total both saved in 5 weeks
= 35(16 +
j)
= 35 x 16 + 35 x
j = $(560 + 35
j)
Cost of the television set
= 560 + 35
j + 31
= 560 + 31 + 35
j= $(591 + 35
j)
(b)
If
j = $17,
Cost of the television set
= 591 + 35 x 17
= 591 + 595
= $1186
Answer(s): (a) $(591 + 35
j) or $(35
j + 591); (b) $1186