Gem and Ivory went shopping with a total of $300. After Gem spent
34 of her money and Ivory spent $69, the ratio of Ivory's money became 3 times as much as Gem's money. Find the ratio of Gem's money to Ivory's money at first.
| |
Gem |
Ivory |
| Before |
4 u |
3 u + 69 |
| Change |
- 3 u |
- 69 |
| After |
1 u |
|
| Comparing between Gem and Ivory in the end |
1 u |
3 u |
Total amount that Gem and Ivory had at first
= 4 u + 3 u + 69
= 7 u + 69
7 u + 69 = 300
4 u + 3 u = 300 - 69
7 u = 231
1 u = 231 ÷ 7 = 33
Amount that Gem had at first
= 4 u
= 4 x 33
= $132
Amount that Ivory had at first
= 300 - 132
= $168
At first
Gem : Ivory
132 : 168
11 : 14
Answer(s): 11 : 14
