Cody saved $11 each day and Ivory saved $
v more than Cody each day. After 2 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 v.
- If v = $14, how much did the hi-fi system cost?
(a)
Amount Cody saved per day = $11
Amount Ivory saved per day = $(11 +
v)
Total amount both saved per day
= 11 + 11 +
v = $(22 +
v)
Number of days in 2 weeks
= 2 x 7
= 14
Total both saved in 2 weeks
= 14(22 +
v)
= 14 x 22 + 14 x
v = $(308 + 14
v)
Cost of the hi-fi system
= 308 + 14
v + 31
= 308 + 31 + 14
v= $(339 + 14
v)
(b)
If
v = $14,
Cost of the hi-fi system
= 339 + 14 x 14
= 339 + 196
= $535
Answer(s): (a) $(339 + 14
v) or $(14
v + 339); (b) $535
