Nicole and Rachel went shopping with a total of $315. After Nicole spent
56 of her money and Rachel spent $40, the ratio of Rachel's money became 5 times as much as Nicole's money. Find the ratio of Nicole's money to Rachel's money at first.
| |
Nicole |
Rachel |
| Before |
6 u |
5 u + 40 |
| Change |
- 5 u |
- 40 |
| After |
1 u |
|
| Comparing between Nicole and Rachel in the end |
1 u |
5 u |
Total amount that Nicole and Rachel had at first
= 6 u + 5 u + 40
= 11 u + 40
11 u + 40 = 315
6 u + 5 u = 315 - 40
11 u = 275
1 u = 275 ÷ 11 = 25
Amount that Nicole had at first
= 6 u
= 6 x 25
= $150
Amount that Rachel had at first
= 315 - 150
= $165
At first
Nicole : Rachel
150 : 165
10 : 11
Answer(s): 10 : 11
