Carl saved $9 each day and Barbara saved $
f more than Carl each day. After 2 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 f.
- If f = $2, how much did the television set cost?
(a)
Amount Carl saved per day = $9
Amount Barbara saved per day = $(9 +
f)
Total amount both saved per day
= 9 + 9 +
f = $(18 +
f)
Number of days in 2 weeks
= 2 x 7
= 14
Total both saved in 2 weeks
= 14(18 +
f)
= 14 x 18 + 14 x
f = $(252 + 14
f)
Cost of the television set
= 252 + 14
f + 30
= 252 + 30 + 14
f= $(282 + 14
f)
(b)
If
f = $2,
Cost of the television set
= 282 + 14 x 2
= 282 + 28
= $310
Answer(s): (a) $(282 + 14
f) or $(14
f + 282); (b) $310
