Hilda and Gillian went shopping. After Hilda spent $91
p, Gillian had 3 times as much as Hilda. If Hilda had $23
p more than Gillian at first,
- Express the amount of money that Hilda had at first in terms of p.
- If p = 31, find the amount of money that the two lady had left after shopping.
|
Hilda |
Gillian |
Before |
1 u + $91p |
3 u |
Change |
- $91p |
|
After |
1 u |
3 u |
(a)
1 u + 91
p = 3 u + 23
p3 u - 1 u = 91
p - 23
p2 u = 91
p - 23
p = 68
p1 u = 68
p ÷ 2 = 34
p Hilda's amount at first
= 1 u + 91
p = 34
p + 91
p = $125
p (b)
1 u + 3 u = 4 u
4 u = 4 x 34
p = 136
p Amount the two lady had left
= 136 x 31
= $4216
Answer(s): (a) $125
p; (b) $4216