Tina and Xandra went shopping with a total of $800. After Tina spent
45 of her money and Xandra spent $50, the ratio of Xandra's money became 5 times as much as Tina's money. Find the ratio of Tina's money to Xandra's money at first.
| |
Tina |
Xandra |
| Before |
5 u |
5 u + 50 |
| Change |
- 4 u |
- 50 |
| After |
1 u |
|
| Comparing between Tina and Xandra in the end |
1 u |
5 u |
Total amount that Tina and Xandra had at first
= 5 u + 5 u + 50
= 10 u + 50
10 u + 50 = 800
5 u + 4 u = 800 - 50
10 u = 750
1 u = 750 ÷ 10 = 75
Amount that Tina had at first
= 5 u
= 5 x 75
= $375
Amount that Xandra had at first
= 800 - 375
= $425
At first
Tina : Xandra
375 : 425
15 : 17
Answer(s): 15 : 17
