Ryan saved $12 each day and Joelle saved $
c more than Ryan each day. After 6 weeks, they were still short of $30 to buy a projector.
- How much did the projector cost? Express your answer in terms of c.
- If c = $14, how much did the projector cost?
(a)
Amount Ryan saved per day = $12
Amount Joelle saved per day = $(12 +
c)
Total amount both saved per day
= 12 + 12 +
c = $(24 +
c)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(24 +
c)
= 42 x 24 + 42 x
c = $(1008 + 42
c)
Cost of the projector
= 1008 + 42
c + 30
= 1008 + 30 + 42
c= $(1038 + 42
c)
(b)
If
c = $14,
Cost of the projector
= 1038 + 42 x 14
= 1038 + 588
= $1626
Answer(s): (a) $(1038 + 42
c) or $(42
c + 1038); (b) $1626
