John saved $12 each day and Anna saved $
t more than John each day. After 5 weeks, they were still short of $29 to buy a projector.
- How much did the projector cost? Express your answer in terms of t.
- If t = $19, how much did the projector cost?
(a)
Amount John saved per day = $12
Amount Anna saved per day = $(12 +
t)
Total amount both saved per day
= 12 + 12 +
t = $(24 +
t)
Number of days in 5 weeks
= 5 x 7
= 35
Total both saved in 5 weeks
= 35(24 +
t)
= 35 x 24 + 35 x
t = $(840 + 35
t)
Cost of the projector
= 840 + 35
t + 29
= 840 + 29 + 35
t= $(869 + 35
t)
(b)
If
t = $19,
Cost of the projector
= 869 + 35 x 19
= 869 + 665
= $1534
Answer(s): (a) $(869 + 35
t) or $(35
t + 869); (b) $1534
