Sabrina and Penelope went shopping. After Sabrina spent $57
h, Penelope had 5 times as much as Sabrina. If Sabrina had $29
h more than Penelope at first,
- Express the amount of money that Sabrina had at first in terms of h.
- If h = 31, find the amount of money that the two lady had left after shopping.
|
Sabrina |
Penelope |
Before |
1 u + $57h |
5 u |
Change |
- $57h |
|
After |
1 u |
5 u |
(a)
1 u + 57
h = 5 u + 29
h5 u - 1 u = 57
h - 29
h4 u = 57
h - 29
h = 28
h1 u = 28
h ÷ 4 = 7
h Sabrina's amount at first
= 1 u + 57
h = 7
h + 57
h = $64
h (b)
1 u + 5 u = 6 u
6 u = 6 x 7
h = 42
h Amount the two lady had left
= 42 x 31
= $1302
Answer(s): (a) $64
h; (b) $1302