Opal and Shiyun went shopping. After Opal spent $55
z, Shiyun had 5 times as much as Opal. If Opal had $23
z more than Shiyun at first,
- Express the amount of money that Opal had at first in terms of z.
- If z = 21, find the amount of money that the two women had left after shopping.
|
Opal |
Shiyun |
Before |
1 u + $55z |
5 u |
Change |
- $55z |
|
After |
1 u |
5 u |
(a)
1 u + 55
z = 5 u + 23
z5 u - 1 u = 55
z - 23
z4 u = 55
z - 23
z = 32
z1 u = 32
z ÷ 4 = 8
z Opal's amount at first
= 1 u + 55
z = 8
z + 55
z = $63
z (b)
1 u + 5 u = 6 u
6 u = 6 x 8
z = 48
z Amount the two women had left
= 48 x 21
= $1008
Answer(s): (a) $63
z; (b) $1008