Hilda and Jean went shopping with a total of $572. After Hilda spent
34 of her money and Jean spent $77, the ratio of Jean's money became 5 times as much as Hilda's money. Find the ratio of Hilda's money to Jean's money at first.
| |
Hilda |
Jean |
| Before |
4 u |
5 u + 77 |
| Change |
- 3 u |
- 77 |
| After |
1 u |
|
| Comparing between Hilda and Jean in the end |
1 u |
5 u |
Total amount that Hilda and Jean had at first
= 4 u + 5 u + 77
= 9 u + 77
9 u + 77 = 572
4 u + 3 u = 572 - 77
9 u = 495
1 u = 495 ÷ 9 = 55
Amount that Hilda had at first
= 4 u
= 4 x 55
= $220
Amount that Jean had at first
= 572 - 220
= $352
At first
Hilda : Jean
220 : 352
5 : 8
Answer(s): 5 : 8
