Shiyun and Tammy went shopping. After Shiyun spent $60
a, Tammy had 5 times as much as Shiyun. If Shiyun had $24
a more than Tammy at first,
- Express the amount of money that Shiyun had at first in terms of a.
- If a = 17, find the amount of money that the two women had left after shopping.
|
Shiyun |
Tammy |
Before |
1 u + $60a |
5 u |
Change |
- $60a |
|
After |
1 u |
5 u |
(a)
1 u + 60
a = 5 u + 24
a5 u - 1 u = 60
a - 24
a4 u = 60
a - 24
a = 36
a1 u = 36
a ÷ 4 = 9
a Shiyun's amount at first
= 1 u + 60
a = 9
a + 60
a = $69
a (b)
1 u + 5 u = 6 u
6 u = 6 x 9
a = 54
a Amount the two women had left
= 54 x 17
= $918
Answer(s): (a) $69
a; (b) $918