Elyse had 2070 mℓ more tea than Xuan. After Elyse gave Xuan 600 mℓ of tea, the ratio of Elyse's tea to Xuan's tea became 7 : 4. How much tea did Elyse have at first? Give your answer in millilitres.
|
Elyse |
Xuan |
Difference |
Before |
1 u + 2070 |
1 u |
2070 |
Change |
- 600 |
+ 600 |
|
After |
1 u + 1470 |
1 u + 600 |
870 |
Comparing Elyse and Xuan in the end |
7 p |
4 p |
3 p |
Volume of tea that Elyse had in the end
= 1 u + 2070 - 600
= 1 u + 1470
Difference in the volume of tea between Elyse and Xuan in the end
= 7 p - 4 p
= 3 p
3 p = 1470 - 600
3 p = 870
1 p = 870 ÷ 3 = 290
Volume of tea that Elyse had at first
= 7 p + 600
= 7 x 290 + 600
= 2030 + 600
= 2630 mℓ
Answer(s): 2630 mℓ