Cole saved $10 each day and Xuan saved $
v more than Cole each day. After 5 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 = $10, how much did the hi-fi system cost?
(a)
Amount Cole saved per day = $10
Amount Xuan saved per day = $(10 +
v)
Total amount both saved per day
= 10 + 10 +
v = $(20 +
v)
Number of days in 5 weeks
= 5 x 7
= 35
Total both saved in 5 weeks
= 35(20 +
v)
= 35 x 20 + 35 x
v = $(700 + 35
v)
Cost of the hi-fi system
= 700 + 35
v + 31
= 700 + 31 + 35
v= $(731 + 35
v)
(b)
If
v = $10,
Cost of the hi-fi system
= 731 + 35 x 10
= 731 + 350
= $1081
Answer(s): (a) $(731 + 35
v) or $(35
v + 731); (b) $1081
