Xuan and Natalie went shopping. After Xuan spent $62
j, Natalie had 5 times as much as Xuan. If Xuan had $30
j more than Natalie at first,
- Express the amount of money that Xuan had at first in terms of j.
- If j = 26, find the amount of money that the two women had left after shopping.
|
Xuan |
Natalie |
Before |
1 u + $62j |
5 u |
Change |
- $62j |
|
After |
1 u |
5 u |
(a)
1 u + 62
j = 5 u + 30
j5 u - 1 u = 62
j - 30
j4 u = 62
j - 30
j = 32
j1 u = 32
j ÷ 4 = 8
j Xuan's amount at first
= 1 u + 62
j = 8
j + 62
j = $70
j (b)
1 u + 5 u = 6 u
6 u = 6 x 8
j = 48
j Amount the two women had left
= 48 x 26
= $1248
Answer(s): (a) $70
j; (b) $1248