Rael saved $11 each day and Zoe saved $
b more than Rael each day. After 2 weeks, they were still short of $32 to buy a stereo system.
- How much did the stereo system cost? Express your answer in terms of b.
- If b = $16, how much did the stereo system cost?
(a)
Amount Rael saved per day = $11
Amount Zoe saved per day = $(11 +
b)
Total amount both saved per day
= 11 + 11 +
b = $(22 +
b)
Number of days in 2 weeks
= 2 x 7
= 14
Total both saved in 2 weeks
= 14(22 +
b)
= 14 x 22 + 14 x
b = $(308 + 14
b)
Cost of the stereo system
= 308 + 14
b + 32
= 308 + 32 + 14
b= $(340 + 14
b)
(b)
If
b = $16,
Cost of the stereo system
= 340 + 14 x 16
= 340 + 224
= $564
Answer(s): (a) $(340 + 14
b) or $(14
b + 340); (b) $564