Xuan and Sabrina went shopping. After Xuan spent $58
j, Sabrina had 3 times as much as Xuan. If Xuan had $27
j more than Sabrina at first,
- Express the amount of money that Xuan had at first in terms of j.
- If j = 30, find the amount of money that the two lady had left after shopping.
|
Xuan |
Sabrina |
Before |
1 u + $58j |
3 u |
Change |
- $58j |
|
After |
1 u |
3 u |
(a)
1 u + 58
j = 3 u + 27
j3 u - 1 u = 58
j - 27
j2 u = 58
j - 27
j = 31
j1 u = 31
j ÷ 2 = 15.5
j Xuan's amount at first
= 1 u + 58
j = 15.5
j + 58
j = $73.5
j (b)
1 u + 3 u = 4 u
4 u = 4 x 15.5
j = 62
j Amount the two lady had left
= 62 x 30
= $1860
Answer(s): (a) $73.5
j; (b) $1860