Julie and Kylie went shopping. After Julie spent $53
h, Kylie had 5 times as much as Julie. If Julie had $21
h more than Kylie at first,
- Express the amount of money that Julie had at first in terms of h.
- If h = 18, find the amount of money that the two women had left after shopping.
|
Julie |
Kylie |
Before |
1 u + $53h |
5 u |
Change |
- $53h |
|
After |
1 u |
5 u |
(a)
1 u + 53
h = 5 u + 21
h5 u - 1 u = 53
h - 21
h4 u = 53
h - 21
h = 32
h1 u = 32
h ÷ 4 = 8
h Julie's amount at first
= 1 u + 53
h = 8
h + 53
h = $61
h (b)
1 u + 5 u = 6 u
6 u = 6 x 8
h = 48
h Amount the two women had left
= 48 x 18
= $864
Answer(s): (a) $61
h; (b) $864