Victorium and Yoko went shopping. After Victorium spent $54
a, Yoko had 3 times as much as Victorium. If Victorium had $30
a more than Yoko at first,
- Express the amount of money that Victorium had at first in terms of a.
- If a = 15, find the amount of money that the two lady had left after shopping.
|
Victorium |
Yoko |
Before |
1 u + $54a |
3 u |
Change |
- $54a |
|
After |
1 u |
3 u |
(a)
1 u + 54
a = 3 u + 30
a3 u - 1 u = 54
a - 30
a2 u = 54
a - 30
a = 24
a1 u = 24
a ÷ 2 = 12
a Victorium's amount at first
= 1 u + 54
a = 12
a + 54
a = $66
a (b)
1 u + 3 u = 4 u
4 u = 4 x 12
a = 48
a Amount the two lady had left
= 48 x 15
= $720
Answer(s): (a) $66
a; (b) $720