Liam saved $11 each day and Kimberly saved $
f more than Liam each day. After 6 weeks, they were still short of $31 to buy a hi-fi system.
- How much did the hi-fi system cost? Express your answer in terms of f.
- If f = $15, how much did the hi-fi system cost?
(a)
Amount Liam saved per day = $11
Amount Kimberly saved per day = $(11 +
f)
Total amount both saved per day
= 11 + 11 +
f = $(22 +
f)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(22 +
f)
= 42 x 22 + 42 x
f = $(924 + 42
f)
Cost of the hi-fi system
= 924 + 42
f + 31
= 924 + 31 + 42
f= $(955 + 42
f)
(b)
If
f = $15,
Cost of the hi-fi system
= 955 + 42 x 15
= 955 + 630
= $1585
Answer(s): (a) $(955 + 42
f) or $(42
f + 955); (b) $1585