Xylia had 2120 mℓ more tea than Raeann. After Xylia gave Raeann 560 mℓ of tea, the ratio of Xylia's tea to Raeann's tea became 7 : 3. How much tea did Xylia have at first? Give your answer in millilitres.
|
Xylia |
Raeann |
Difference |
Before |
1 u + 2120 |
1 u |
2120 |
Change |
- 560 |
+ 560 |
|
After |
1 u + 1560 |
1 u + 560 |
1000 |
Comparing Xylia and Raeann in the end |
7 p |
3 p |
4 p |
Volume of tea that Xylia had in the end
= 1 u + 2120 - 560
= 1 u + 1560
Difference in the volume of tea between Xylia and Raeann in the end
= 7 p - 3 p
= 4 p
4 p = 1560 - 560
4 p = 1000
1 p = 1000 ÷ 4 = 250
Volume of tea that Xylia had at first
= 7 p + 560
= 7 x 250 + 560
= 1750 + 560
= 2310 mℓ
Answer(s): 2310 mℓ