Tim saved $11 each day and Fanny saved $
a more than Tim each day. After 6 weeks, they were still short of $28 to buy a projector.
- How much did the projector cost? Express your answer in terms of a.
- If a = $17, how much did the projector cost?
(a)
Amount Tim saved per day = $11
Amount Fanny saved per day = $(11 +
a)
Total amount both saved per day
= 11 + 11 +
a = $(22 +
a)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(22 +
a)
= 42 x 22 + 42 x
a = $(924 + 42
a)
Cost of the projector
= 924 + 42
a + 28
= 924 + 28 + 42
a= $(952 + 42
a)
(b)
If
a = $17,
Cost of the projector
= 952 + 42 x 17
= 952 + 714
= $1666
Answer(s): (a) $(952 + 42
a) or $(42
a + 952); (b) $1666
