Lynn and Betty went shopping. After Lynn spent $94
t, Betty had 5 times as much as Lynn. If Lynn had $24
t more than Betty at first,
- Express the amount of money that Lynn had at first in terms of t.
- If t = 11, find the amount of money that the two women had left after shopping.
|
Lynn |
Betty |
Before |
1 u + $94t |
5 u |
Change |
- $94t |
|
After |
1 u |
5 u |
(a)
1 u + 94
t = 5 u + 24
t5 u - 1 u = 94
t - 24
t4 u = 94
t - 24
t = 70
t1 u = 70
t ÷ 4 = 17.5
t Lynn's amount at first
= 1 u + 94
t = 17.5
t + 94
t = $111.5
t (b)
1 u + 5 u = 6 u
6 u = 6 x 17.5
t = 105
t Amount the two women had left
= 105 x 11
= $1155
Answer(s): (a) $111.5
t; (b) $1155