Rachel and Hilda went shopping with a total of $384. After Rachel spent
45 of her money and Hilda spent $96, the ratio of Hilda's money became 4 times as much as Rachel's money. Find the ratio of Rachel's money to Hilda's money at first.
| |
Rachel |
Hilda |
| Before |
5 u |
4 u + 96 |
| Change |
- 4 u |
- 96 |
| After |
1 u |
|
| Comparing between Rachel and Hilda in the end |
1 u |
4 u |
Total amount that Rachel and Hilda had at first
= 5 u + 4 u + 96
= 9 u + 96
9 u + 96 = 384
5 u + 4 u = 384 - 96
9 u = 288
1 u = 288 ÷ 9 = 32
Amount that Rachel had at first
= 5 u
= 5 x 32
= $160
Amount that Hilda had at first
= 384 - 160
= $224
At first
Rachel : Hilda
160 : 224
5 : 7
Answer(s): 5 : 7
