Xandra had 1240 mℓ more tea than Tina. After Xandra gave Tina 420 mℓ of tea, the ratio of Xandra's tea to Tina's tea became 5 : 3. How much tea did Xandra have at first? Give your answer in millilitres.
| |
Xandra |
Tina |
Difference |
| Before |
1 u + 1240 |
1 u |
1240 |
| Change |
- 420 |
+ 420 |
|
| After |
1 u + 820 |
1 u + 420 |
400 |
Comparing Xandra and
Tina in the end |
5 p |
3 p |
2 p |
Volume of tea that Xandra had in the end
= 1 u + 1240 - 420
= 1 u + 820
Difference in the volume of tea between Xandra and Tina in the end
= 5 p - 3 p
= 2 p
2 p = 820 - 420
2 p = 400
1 p = 400 ÷ 2 = 200
Volume of tea that Xandra had at first
= 5 p + 420
= 5 x 200 + 420
= 1000 + 420
= 1420 mℓ
Answer(s): 1420 mℓ
