Liam saved $9 each day and Wendy saved $
x more than Liam each day. After 6 weeks, they were still short of $28 to buy a stereo system.
- How much did the stereo system cost? Express your answer in terms of x.
- If x = $4, how much did the stereo system cost?
(a)
Amount Liam saved per day = $9
Amount Wendy saved per day = $(9 +
x)
Total amount both saved per day
= 9 + 9 +
x = $(18 +
x)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(18 +
x)
= 42 x 18 + 42 x
x = $(756 + 42
x)
Cost of the stereo system
= 756 + 42
x + 28
= 756 + 28 + 42
x= $(784 + 42
x)
(b)
If
x = $4,
Cost of the stereo system
= 784 + 42 x 4
= 784 + 168
= $952
Answer(s): (a) $(784 + 42
x) or $(42
x + 784); (b) $952
