David saved $8 each day and Gem saved $
a more than David each day. After 2 weeks, they were still short of $28 to buy a printer.
- How much did the printer cost? Express your answer in terms of a.
- If a = $2, how much did the printer cost?
(a)
Amount David saved per day = $8
Amount Gem saved per day = $(8 +
a)
Total amount both saved per day
= 8 + 8 +
a = $(16 +
a)
Number of days in 2 weeks
= 2 x 7
= 14
Total both saved in 2 weeks
= 14(16 +
a)
= 14 x 16 + 14 x
a = $(224 + 14
a)
Cost of the printer
= 224 + 14
a + 28
= 224 + 28 + 14
a= $(252 + 14
a)
(b)
If
a = $2,
Cost of the printer
= 252 + 14 x 2
= 252 + 28
= $280
Answer(s): (a) $(252 + 14
a) or $(14
a + 252); (b) $280