Jack saved $12 each day and Gem saved $
b more than Jack 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 b.
- If b = $2, how much did the projector cost?
(a)
Amount Jack saved per day = $12
Amount Gem saved per day = $(12 +
b)
Total amount both saved per day
= 12 + 12 +
b = $(24 +
b)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(24 +
b)
= 42 x 24 + 42 x
b = $(1008 + 42
b)
Cost of the projector
= 1008 + 42
b + 30
= 1008 + 30 + 42
b= $(1038 + 42
b)
(b)
If
b = $2,
Cost of the projector
= 1038 + 42 x 2
= 1038 + 84
= $1122
Answer(s): (a) $(1038 + 42
b) or $(42
b + 1038); (b) $1122
