Diana and Fiona had $119 at first. Diana spent
58 of her money and Fiona spent
45 of her money. Given that they had $98 left, how much did Diana have at first?
|
Diana |
Fiona |
Total |
Before |
8 u |
5 p |
$119 |
Change |
- 5 u |
- 4 p |
|
After |
3 u |
1 p |
$98 |
8 u + 5 p = 119 --- (1)
3 u + 1 p = 98 --- (2)
(2) x 5 15 u + 5 p = 490 --- (3)
(3) - (1)
15 u - 8 u = 490 - 119
7 u = 371
1 u = 371 ÷ 7 = 53
Amount that Diana had at first
= 8 u
= 8 x 53
= $424
Answer(s): $424