Victoria and Dana had $120 at first. Victoria spent
58 of her money and Dana spent
34 of her money. Given that they had $82 left, how much did Victoria have at first?
|
Victoria |
Dana |
Total |
Before |
8 u |
4 p |
$120 |
Change |
- 5 u |
- 3 p |
|
After |
3 u |
1 p |
$82 |
8 u + 4 p = 120 --- (1)
3 u + 1 p = 82 --- (2)
(2) x 4 12 u + 4 p = 328 --- (3)
(3) - (1)
12 u - 8 u = 328 - 120
4 u = 208
1 u = 208 ÷ 4 = 52
Amount that Victoria had at first
= 8 u
= 8 x 52
= $416
Answer(s): $416