Lynn and Gem went shopping with a total of $585. After Lynn spent
45 of her money and Gem spent $33, the ratio of Gem's money became 3 times as much as Lynn's money. Find the ratio of Lynn's money to Gem's money at first.
| |
Lynn |
Gem |
| Before |
5 u |
3 u + 33 |
| Change |
- 4 u |
- 33 |
| After |
1 u |
|
| Comparing between Lynn and Gem in the end |
1 u |
3 u |
Total amount that Lynn and Gem had at first
= 5 u + 3 u + 33
= 8 u + 33
8 u + 33 = 585
5 u + 4 u = 585 - 33
8 u = 552
1 u = 552 ÷ 8 = 69
Amount that Lynn had at first
= 5 u
= 5 x 69
= $345
Amount that Gem had at first
= 585 - 345
= $240
At first
Lynn : Gem
345 : 240
23 : 16
Answer(s): 23 : 16
