David saved $11 each day and Emily saved $
k more than David each day. After 4 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 = $10, how much did the projector cost?
(a)
Amount David saved per day = $11
Amount Emily saved per day = $(11 +
k)
Total amount both saved per day
= 11 + 11 +
k = $(22 +
k)
Number of days in 4 weeks
= 4 x 7
= 28
Total both saved in 4 weeks
= 28(22 +
k)
= 28 x 22 + 28 x
k = $(616 + 28
k)
Cost of the projector
= 616 + 28
k + 32
= 616 + 32 + 28
k= $(648 + 28
k)
(b)
If
k = $10,
Cost of the projector
= 648 + 28 x 10
= 648 + 280
= $928
Answer(s): (a) $(648 + 28
k) or $(28
k + 648); (b) $928
