Dana and Victorium went shopping. After Dana spent $50
m, Victorium had 5 times as much as Dana. If Dana had $22
m more than Victorium at first,
- Express the amount of money that Dana had at first in terms of m.
- If m = 19, find the amount of money that the two women had left after shopping.
|
Dana |
Victorium |
Before |
1 u + $50m |
5 u |
Change |
- $50m |
|
After |
1 u |
5 u |
(a)
1 u + 50
m = 5 u + 22
m5 u - 1 u = 50
m - 22
m4 u = 50
m - 22
m = 28
m1 u = 28
m ÷ 4 = 7
m Dana's amount at first
= 1 u + 50
m = 7
m + 50
m = $57
m (b)
1 u + 5 u = 6 u
6 u = 6 x 7
m = 42
m Amount the two women had left
= 42 x 19
= $798
Answer(s): (a) $57
m; (b) $798