Yen and Betty went shopping. After Yen spent $92
z, Betty had 3 times as much as Yen. If Yen had $30
z more than Betty at first,
- Express the amount of money that Yen had at first in terms of z.
- If z = 34, find the amount of money that the two women had left after shopping.
|
Yen |
Betty |
Before |
1 u + $92z |
3 u |
Change |
- $92z |
|
After |
1 u |
3 u |
(a)
1 u + 92
z = 3 u + 30
z3 u - 1 u = 92
z - 30
z2 u = 92
z - 30
z = 62
z1 u = 62
z ÷ 2 = 31
z Yen's amount at first
= 1 u + 92
z = 31
z + 92
z = $123
z (b)
1 u + 3 u = 4 u
4 u = 4 x 31
z = 124
z Amount the two women had left
= 124 x 34
= $4216
Answer(s): (a) $123
z; (b) $4216