Luke saved $8 each day and Sarah saved $
m more than Luke each day. After 5 weeks, they were still short of $28 to buy a television set.
- How much did the television set cost? Express your answer in terms of m.
- If m = $5, how much did the television set cost?
(a)
Amount Luke saved per day = $8
Amount Sarah saved per day = $(8 +
m)
Total amount both saved per day
= 8 + 8 +
m = $(16 +
m)
Number of days in 5 weeks
= 5 x 7
= 35
Total both saved in 5 weeks
= 35(16 +
m)
= 35 x 16 + 35 x
m = $(560 + 35
m)
Cost of the television set
= 560 + 35
m + 28
= 560 + 28 + 35
m= $(588 + 35
m)
(b)
If
m = $5,
Cost of the television set
= 588 + 35 x 5
= 588 + 175
= $763
Answer(s): (a) $(588 + 35
m) or $(35
m + 588); (b) $763
