Xuan and Marion went shopping. After Xuan spent $74
h, Marion had 3 times as much as Xuan. If Xuan had $28
h more than Marion at first,
- Express the amount of money that Xuan had at first in terms of h.
- If h = 10, find the amount of money that the two lady had left after shopping.
|
Xuan |
Marion |
Before |
1 u + $74h |
3 u |
Change |
- $74h |
|
After |
1 u |
3 u |
(a)
1 u + 74
h = 3 u + 28
h3 u - 1 u = 74
h - 28
h2 u = 74
h - 28
h = 46
h1 u = 46
h ÷ 2 = 23
h Xuan's amount at first
= 1 u + 74
h = 23
h + 74
h = $97
h (b)
1 u + 3 u = 4 u
4 u = 4 x 23
h = 92
h Amount the two lady had left
= 92 x 10
= $920
Answer(s): (a) $97
h; (b) $920