Jeremy saved $11 each day and Abi saved $
i more than Jeremy each day. After 5 weeks, they were still short of $30 to buy a laptop.
- How much did the laptop cost? Express your answer in terms of i.
- If i = $2, how much did the laptop cost?
(a)
Amount Jeremy saved per day = $11
Amount Abi saved per day = $(11 +
i)
Total amount both saved per day
= 11 + 11 +
i = $(22 +
i)
Number of days in 5 weeks
= 5 x 7
= 35
Total both saved in 5 weeks
= 35(22 +
i)
= 35 x 22 + 35 x
i = $(770 + 35
i)
Cost of the laptop
= 770 + 35
i + 30
= 770 + 30 + 35
i= $(800 + 35
i)
(b)
If
i = $2,
Cost of the laptop
= 800 + 35 x 2
= 800 + 70
= $870
Answer(s): (a) $(800 + 35
i) or $(35
i + 800); (b) $870