Caden saved $10 each day and Emma saved $
g more than Caden each day. After 3 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 g.
- If g = $10, how much did the hi-fi system cost?
(a)
Amount Caden saved per day = $10
Amount Emma saved per day = $(10 +
g)
Total amount both saved per day
= 10 + 10 +
g = $(20 +
g)
Number of days in 3 weeks
= 3 x 7
= 21
Total both saved in 3 weeks
= 21(20 +
g)
= 21 x 20 + 21 x
g = $(420 + 21
g)
Cost of the hi-fi system
= 420 + 21
g + 31
= 420 + 31 + 21
g= $(451 + 21
g)
(b)
If
g = $10,
Cost of the hi-fi system
= 451 + 21 x 10
= 451 + 210
= $661
Answer(s): (a) $(451 + 21
g) or $(21
g + 451); (b) $661
