Eva and Elyse went shopping. After Eva spent $80
a, Elyse had 3 times as much as Eva. If Eva had $26
a more than Elyse at first,
- Express the amount of money that Eva had at first in terms of a.
- If a = 10, find the amount of money that the two lady had left after shopping.
|
Eva |
Elyse |
Before |
1 u + $80a |
3 u |
Change |
- $80a |
|
After |
1 u |
3 u |
(a)
1 u + 80
a = 3 u + 26
a3 u - 1 u = 80
a - 26
a2 u = 80
a - 26
a = 54
a1 u = 54
a ÷ 2 = 27
a Eva's amount at first
= 1 u + 80
a = 27
a + 80
a = $107
a (b)
1 u + 3 u = 4 u
4 u = 4 x 27
a = 108
a Amount the two lady had left
= 108 x 10
= $1080
Answer(s): (a) $107
a; (b) $1080