Pamela and Shiyun went shopping. After Pamela spent $85
a, Shiyun had 3 times as much as Pamela. If Pamela had $29
a more than Shiyun at first,
- Express the amount of money that Pamela had at first in terms of a.
- If a = 10, find the amount of money that the two lady had left after shopping.
|
Pamela |
Shiyun |
Before |
1 u + $85a |
3 u |
Change |
- $85a |
|
After |
1 u |
3 u |
(a)
1 u + 85
a = 3 u + 29
a3 u - 1 u = 85
a - 29
a2 u = 85
a - 29
a = 56
a1 u = 56
a ÷ 2 = 28
a Pamela's amount at first
= 1 u + 85
a = 28
a + 85
a = $113
a (b)
1 u + 3 u = 4 u
4 u = 4 x 28
a = 112
a Amount the two lady had left
= 112 x 10
= $1120
Answer(s): (a) $113
a; (b) $1120