Zoe and Betty went shopping. After Zoe spent $51
r, Betty had 3 times as much as Zoe. If Zoe had $26
r more than Betty at first,
- Express the amount of money that Zoe had at first in terms of r.
- If r = 25, find the amount of money that the two women had left after shopping.
|
Zoe |
Betty |
Before |
1 u + $51r |
3 u |
Change |
- $51r |
|
After |
1 u |
3 u |
(a)
1 u + 51
r = 3 u + 26
r3 u - 1 u = 51
r - 26
r2 u = 51
r - 26
r = 25
r1 u = 25
r ÷ 2 = 12.5
r Zoe's amount at first
= 1 u + 51
r = 12.5
r + 51
r = $63.5
r (b)
1 u + 3 u = 4 u
4 u = 4 x 12.5
r = 50
r Amount the two women had left
= 50 x 25
= $1250
Answer(s): (a) $63.5
r; (b) $1250