Gem and Xylia went shopping with a total of $576. After Gem spent
56 of her money and Xylia spent $36, the ratio of Xylia's money became 4 times as much as Gem's money. Find the ratio of Gem's money to Xylia's money at first.
| |
Gem |
Xylia |
| Before |
6 u |
4 u + 36 |
| Change |
- 5 u |
- 36 |
| After |
1 u |
|
| Comparing between Gem and Xylia in the end |
1 u |
4 u |
Total amount that Gem and Xylia had at first
= 6 u + 4 u + 36
= 10 u + 36
10 u + 36 = 576
6 u + 5 u = 576 - 36
10 u = 540
1 u = 540 ÷ 10 = 54
Amount that Gem had at first
= 6 u
= 6 x 54
= $324
Amount that Xylia had at first
= 576 - 324
= $252
At first
Gem : Xylia
324 : 252
9 : 7
Answer(s): 9 : 7
