John saved $10 each day and Winnie saved $
z more than John each day. After 5 weeks, they were still short of $28 to buy a television set.
- How much did the television set cost? Express your answer in terms of z.
- If z = $7, how much did the television set cost?
(a)
Amount John saved per day = $10
Amount Winnie saved per day = $(10 +
z)
Total amount both saved per day
= 10 + 10 +
z = $(20 +
z)
Number of days in 5 weeks
= 5 x 7
= 35
Total both saved in 5 weeks
= 35(20 +
z)
= 35 x 20 + 35 x
z = $(700 + 35
z)
Cost of the television set
= 700 + 35
z + 28
= 700 + 28 + 35
z= $(728 + 35
z)
(b)
If
z = $7,
Cost of the television set
= 728 + 35 x 7
= 728 + 245
= $973
Answer(s): (a) $(728 + 35
z) or $(35
z + 728); (b) $973
