Oscar saved $11 each day and Cathy saved $
c more than Oscar each day. After 5 weeks, they were still short of $31 to buy a projector.
- How much did the projector cost? Express your answer in terms of c.
- If c = $7, how much did the projector cost?
(a)
Amount Oscar saved per day = $11
Amount Cathy saved per day = $(11 +
c)
Total amount both saved per day
= 11 + 11 +
c = $(22 +
c)
Number of days in 5 weeks
= 5 x 7
= 35
Total both saved in 5 weeks
= 35(22 +
c)
= 35 x 22 + 35 x
c = $(770 + 35
c)
Cost of the projector
= 770 + 35
c + 31
= 770 + 31 + 35
c= $(801 + 35
c)
(b)
If
c = $7,
Cost of the projector
= 801 + 35 x 7
= 801 + 245
= $1046
Answer(s): (a) $(801 + 35
c) or $(35
c + 801); (b) $1046