Betty and Penelope went shopping. After Betty spent $56
h, Penelope had 3 times as much as Betty. If Betty had $26
h more than Penelope at first,
- Express the amount of money that Betty had at first in terms of h.
- If h = 33, find the amount of money that the two women had left after shopping.
|
Betty |
Penelope |
Before |
1 u + $56h |
3 u |
Change |
- $56h |
|
After |
1 u |
3 u |
(a)
1 u + 56
h = 3 u + 26
h3 u - 1 u = 56
h - 26
h2 u = 56
h - 26
h = 30
h1 u = 30
h ÷ 2 = 15
h Betty's amount at first
= 1 u + 56
h = 15
h + 56
h = $71
h (b)
1 u + 3 u = 4 u
4 u = 4 x 15
h = 60
h Amount the two women had left
= 60 x 33
= $1980
Answer(s): (a) $71
h; (b) $1980