Eva and Joelle went shopping. After Eva spent $58
b, Joelle had 5 times as much as Eva. If Eva had $24
b more than Joelle at first,
- Express the amount of money that Eva had at first in terms of b.
- If b = 14, find the amount of money that the two women had left after shopping.
|
Eva |
Joelle |
Before |
1 u + $58b |
5 u |
Change |
- $58b |
|
After |
1 u |
5 u |
(a)
1 u + 58
b = 5 u + 24
b5 u - 1 u = 58
b - 24
b4 u = 58
b - 24
b = 34
b1 u = 34
b ÷ 4 = 8.5
b Eva's amount at first
= 1 u + 58
b = 8.5
b + 58
b = $66.5
b (b)
1 u + 5 u = 6 u
6 u = 6 x 8.5
b = 51
b Amount the two women had left
= 51 x 14
= $714
Answer(s): (a) $66.5
b; (b) $714