Xandra and Vanessa went shopping. After Xandra spent $55
j, Vanessa had 3 times as much as Xandra. If Xandra had $25
j more than Vanessa at first,
- Express the amount of money that Xandra had at first in terms of j.
- If j = 33, find the amount of money that the two women had left after shopping.
|
Xandra |
Vanessa |
Before |
1 u + $55j |
3 u |
Change |
- $55j |
|
After |
1 u |
3 u |
(a)
1 u + 55
j = 3 u + 25
j3 u - 1 u = 55
j - 25
j2 u = 55
j - 25
j = 30
j1 u = 30
j ÷ 2 = 15
j Xandra's amount at first
= 1 u + 55
j = 15
j + 55
j = $70
j (b)
1 u + 3 u = 4 u
4 u = 4 x 15
j = 60
j Amount the two women had left
= 60 x 33
= $1980
Answer(s): (a) $70
j; (b) $1980