Gem and Gillian went shopping with a total of $570. After Gem spent
34 of her money and Gillian spent $30, the ratio of Gillian's money became 5 times as much as Gem's money. Find the ratio of Gem's money to Gillian's money at first.
| |
Gem |
Gillian |
| Before |
4 u |
5 u + 30 |
| Change |
- 3 u |
- 30 |
| After |
1 u |
|
| Comparing between Gem and Gillian in the end |
1 u |
5 u |
Total amount that Gem and Gillian had at first
= 4 u + 5 u + 30
= 9 u + 30
9 u + 30 = 570
4 u + 3 u = 570 - 30
9 u = 540
1 u = 540 ÷ 9 = 60
Amount that Gem had at first
= 4 u
= 4 x 60
= $240
Amount that Gillian had at first
= 570 - 240
= $330
At first
Gem : Gillian
240 : 330
8 : 11
Answer(s): 8 : 11
