Erika and Fiona went shopping. After Erika spent $51
b, Fiona had 3 times as much as Erika. If Erika had $27
b more than Fiona at first,
- Express the amount of money that Erika had at first in terms of b.
- If b = 35, find the amount of money that the two lady had left after shopping.
|
Erika |
Fiona |
Before |
1 u + $51b |
3 u |
Change |
- $51b |
|
After |
1 u |
3 u |
(a)
1 u + 51
b = 3 u + 27
b3 u - 1 u = 51
b - 27
b2 u = 51
b - 27
b = 24
b1 u = 24
b ÷ 2 = 12
b Erika's amount at first
= 1 u + 51
b = 12
b + 51
b = $63
b (b)
1 u + 3 u = 4 u
4 u = 4 x 12
b = 48
b Amount the two lady had left
= 48 x 35
= $1680
Answer(s): (a) $63
b; (b) $1680