Xandra and Wendy went shopping with a total of $400. After Xandra spent
34 of her money and Wendy spent $76, the ratio of Wendy's money became 5 times as much as Xandra's money. Find the ratio of Xandra's money to Wendy's money at first.
| |
Xandra |
Wendy |
| Before |
4 u |
5 u + 76 |
| Change |
- 3 u |
- 76 |
| After |
1 u |
|
| Comparing between Xandra and Wendy in the end |
1 u |
5 u |
Total amount that Xandra and Wendy had at first
= 4 u + 5 u + 76
= 9 u + 76
9 u + 76 = 400
4 u + 3 u = 400 - 76
9 u = 324
1 u = 324 ÷ 9 = 36
Amount that Xandra had at first
= 4 u
= 4 x 36
= $144
Amount that Wendy had at first
= 400 - 144
= $256
At first
Xandra : Wendy
144 : 256
9 : 16
Answer(s): 9 : 16
