Abi and Penelope went shopping. After Abi spent $91
n, Penelope had 3 times as much as Abi. If Abi had $28
n more than Penelope at first,
- Express the amount of money that Abi had at first in terms of n.
- If n = 11, find the amount of money that the two women had left after shopping.
|
Abi |
Penelope |
Before |
1 u + $91n |
3 u |
Change |
- $91n |
|
After |
1 u |
3 u |
(a)
1 u + 91
n = 3 u + 28
n3 u - 1 u = 91
n - 28
n2 u = 91
n - 28
n = 63
n1 u = 63
n ÷ 2 = 31.5
n Abi's amount at first
= 1 u + 91
n = 31.5
n + 91
n = $122.5
n (b)
1 u + 3 u = 4 u
4 u = 4 x 31.5
n = 126
n Amount the two women had left
= 126 x 11
= $1386
Answer(s): (a) $122.5
n; (b) $1386