Fabian saved $9 each day and Yen saved $
x more than Fabian each day. After 4 weeks, they were still short of $30 to buy a projector.
- How much did the projector cost? Express your answer in terms of x.
- If x = $20, how much did the projector cost?
(a)
Amount Fabian saved per day = $9
Amount Yen saved per day = $(9 +
x)
Total amount both saved per day
= 9 + 9 +
x = $(18 +
x)
Number of days in 4 weeks
= 4 x 7
= 28
Total both saved in 4 weeks
= 28(18 +
x)
= 28 x 18 + 28 x
x = $(504 + 28
x)
Cost of the projector
= 504 + 28
x + 30
= 504 + 30 + 28
x= $(534 + 28
x)
(b)
If
x = $20,
Cost of the projector
= 534 + 28 x 20
= 534 + 560
= $1094
Answer(s): (a) $(534 + 28
x) or $(28
x + 534); (b) $1094
