Ethan saved $11 each day and Zara saved $
t more than Ethan each day. After 2 weeks, they were still short of $30 to buy a massage chair.
- How much did the massage chair cost? Express your answer in terms of t.
- If t = $6, how much did the massage chair cost?
(a)
Amount Ethan saved per day = $11
Amount Zara saved per day = $(11 +
t)
Total amount both saved per day
= 11 + 11 +
t = $(22 +
t)
Number of days in 2 weeks
= 2 x 7
= 14
Total both saved in 2 weeks
= 14(22 +
t)
= 14 x 22 + 14 x
t = $(308 + 14
t)
Cost of the massage chair
= 308 + 14
t + 30
= 308 + 30 + 14
t= $(338 + 14
t)
(b)
If
t = $6,
Cost of the massage chair
= 338 + 14 x 6
= 338 + 84
= $422
Answer(s): (a) $(338 + 14
t) or $(14
t + 338); (b) $422