Will saved $12 each day and Diana saved $
y more than Will each day. After 6 weeks, they were still short of $31 to buy a television set.
- How much did the television set cost? Express your answer in terms of y.
- If y = $14, how much did the television set cost?
(a)
Amount Will saved per day = $12
Amount Diana saved per day = $(12 +
y)
Total amount both saved per day
= 12 + 12 +
y = $(24 +
y)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(24 +
y)
= 42 x 24 + 42 x
y = $(1008 + 42
y)
Cost of the television set
= 1008 + 42
y + 31
= 1008 + 31 + 42
y= $(1039 + 42
y)
(b)
If
y = $14,
Cost of the television set
= 1039 + 42 x 14
= 1039 + 588
= $1627
Answer(s): (a) $(1039 + 42
y) or $(42
y + 1039); (b) $1627
