Raeann and Esther went shopping. After Raeann spent $67
f, Esther had 3 times as much as Raeann. If Raeann had $29
f more than Esther at first,
- Express the amount of money that Raeann had at first in terms of f.
- If f = 24, find the amount of money that the two women had left after shopping.
|
Raeann |
Esther |
Before |
1 u + $67f |
3 u |
Change |
- $67f |
|
After |
1 u |
3 u |
(a)
1 u + 67
f = 3 u + 29
f3 u - 1 u = 67
f - 29
f2 u = 67
f - 29
f = 38
f1 u = 38
f ÷ 2 = 19
f Raeann's amount at first
= 1 u + 67
f = 19
f + 67
f = $86
f (b)
1 u + 3 u = 4 u
4 u = 4 x 19
f = 76
f Amount the two women had left
= 76 x 24
= $1824
Answer(s): (a) $86
f; (b) $1824