Xandra had 1580 mℓ more tea than Risa. After Xandra gave Risa 440 mℓ of tea, the ratio of Xandra's tea to Risa's tea became 5 : 3. How much tea did Xandra have at first? Give your answer in millilitres.
|
Xandra |
Risa |
Difference |
Before |
1 u + 1580 |
1 u |
1580 |
Change |
- 440 |
+ 440 |
|
After |
1 u + 1140 |
1 u + 440 |
700 |
Comparing Xandra and Risa in the end |
5 p |
3 p |
2 p |
Volume of tea that Xandra had in the end
= 1 u + 1580 - 440
= 1 u + 1140
Difference in the volume of tea between Xandra and Risa in the end
= 5 p - 3 p
= 2 p
2 p = 1140 - 440
2 p = 700
1 p = 700 ÷ 2 = 350
Volume of tea that Xandra had at first
= 5 p + 440
= 5 x 350 + 440
= 1750 + 440
= 2190 mℓ
Answer(s): 2190 mℓ