Nicole and Gem went shopping with a total of $806. After Nicole spent
45 of her money and Gem spent $62, the ratio of Gem's money became 3 times as much as Nicole's money. Find the ratio of Nicole's money to Gem's money at first.
| |
Nicole |
Gem |
| Before |
5 u |
3 u + 62 |
| Change |
- 4 u |
- 62 |
| After |
1 u |
|
| Comparing between Nicole and Gem in the end |
1 u |
3 u |
Total amount that Nicole and Gem had at first
= 5 u + 3 u + 62
= 8 u + 62
8 u + 62 = 806
5 u + 4 u = 806 - 62
8 u = 744
1 u = 744 ÷ 8 = 93
Amount that Nicole had at first
= 5 u
= 5 x 93
= $465
Amount that Gem had at first
= 806 - 465
= $341
At first
Nicole : Gem
465 : 341
15 : 11
Answer(s): 15 : 11
