Sean saved $10 each day and Rachel saved $
z more than Sean each day. After 2 weeks, they were still short of $31 to buy a hard drive.
- How much did the hard drive cost? Express your answer in terms of z.
- If z = $8, how much did the hard drive cost?
(a)
Amount Sean saved per day = $10
Amount Rachel saved per day = $(10 +
z)
Total amount both saved per day
= 10 + 10 +
z = $(20 +
z)
Number of days in 2 weeks
= 2 x 7
= 14
Total both saved in 2 weeks
= 14(20 +
z)
= 14 x 20 + 14 x
z = $(280 + 14
z)
Cost of the hard drive
= 280 + 14
z + 31
= 280 + 31 + 14
z= $(311 + 14
z)
(b)
If
z = $8,
Cost of the hard drive
= 311 + 14 x 8
= 311 + 112
= $423
Answer(s): (a) $(311 + 14
z) or $(14
z + 311); (b) $423
