Diana and Mary went shopping with a total of $495. After Diana spent
45 of her money and Mary spent $55, the ratio of Mary's money became 3 times as much as Diana's money. Find the ratio of Diana's money to Mary's money at first.
| |
Diana |
Mary |
| Before |
5 u |
3 u + 55 |
| Change |
- 4 u |
- 55 |
| After |
1 u |
|
| Comparing between Diana and Mary in the end |
1 u |
3 u |
Total amount that Diana and Mary had at first
= 5 u + 3 u + 55
= 8 u + 55
8 u + 55 = 495
5 u + 4 u = 495 - 55
8 u = 440
1 u = 440 ÷ 8 = 55
Amount that Diana had at first
= 5 u
= 5 x 55
= $275
Amount that Mary had at first
= 495 - 275
= $220
At first
Diana : Mary
275 : 220
5 : 4
Answer(s): 5 : 4
