Tina and Penelope went shopping. After Tina spent $52
n, Penelope had 3 times as much as Tina. If Tina had $26
n more than Penelope at first,
- Express the amount of money that Tina had at first in terms of n.
- If n = 40, find the amount of money that the two lady had left after shopping.
|
Tina |
Penelope |
Before |
1 u + $52n |
3 u |
Change |
- $52n |
|
After |
1 u |
3 u |
(a)
1 u + 52
n = 3 u + 26
n3 u - 1 u = 52
n - 26
n2 u = 52
n - 26
n = 26
n1 u = 26
n ÷ 2 = 13
n Tina's amount at first
= 1 u + 52
n = 13
n + 52
n = $65
n (b)
1 u + 3 u = 4 u
4 u = 4 x 13
n = 52
n Amount the two lady had left
= 52 x 40
= $2080
Answer(s): (a) $65
n; (b) $2080