Paul saved $8 each day and Esther saved $
j more than Paul each day. After 6 weeks, they were still short of $29 to buy a mobile phone.
- How much did the mobile phone cost? Express your answer in terms of j.
- If j = $13, how much did the mobile phone cost?
(a)
Amount Paul saved per day = $8
Amount Esther saved per day = $(8 +
j)
Total amount both saved per day
= 8 + 8 +
j = $(16 +
j)
Number of days in 6 weeks
= 6 x 7
= 42
Total both saved in 6 weeks
= 42(16 +
j)
= 42 x 16 + 42 x
j = $(672 + 42
j)
Cost of the mobile phone
= 672 + 42
j + 29
= 672 + 29 + 42
j= $(701 + 42
j)
(b)
If
j = $13,
Cost of the mobile phone
= 701 + 42 x 13
= 701 + 546
= $1247
Answer(s): (a) $(701 + 42
j) or $(42
j + 701); (b) $1247
