Reggie saved $9 each day and Vanessa saved $
k more than Reggie each day. After 6 weeks, they were still short of $32 to buy a projector.
- How much did the projector cost? Express your answer in terms of k.
- If k = $3, how much did the projector cost?
(a)
Amount Reggie saved per day = $9
Amount Vanessa saved per day = $(9 +
k)
Total amount both saved per day
= 9 + 9 +
k = $(18 +
k)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(18 +
k)
= 42 x 18 + 42 x
k = $(756 + 42
k)
Cost of the projector
= 756 + 42
k + 32
= 756 + 32 + 42
k= $(788 + 42
k)
(b)
If
k = $3,
Cost of the projector
= 788 + 42 x 3
= 788 + 126
= $914
Answer(s): (a) $(788 + 42
k) or $(42
k + 788); (b) $914
