Yen had 1780 mℓ more tea than Xandra. After Yen gave Xandra 510 mℓ of tea, the ratio of Yen's tea to Xandra's tea became 5 : 3. How much tea did Yen have at first? Give your answer in millilitres.
| |
Yen |
Xandra |
Difference |
| Before |
1 u + 1780 |
1 u |
1780 |
| Change |
- 510 |
+ 510 |
|
| After |
1 u + 1270 |
1 u + 510 |
760 |
Comparing Yen and
Xandra in the end |
5 p |
3 p |
2 p |
Volume of tea that Yen had in the end
= 1 u + 1780 - 510
= 1 u + 1270
Difference in the volume of tea between Yen and Xandra in the end
= 5 p - 3 p
= 2 p
2 p = 1270 - 510
2 p = 760
1 p = 760 ÷ 2 = 380
Volume of tea that Yen had at first
= 5 p + 510
= 5 x 380 + 510
= 1900 + 510
= 2410 mℓ
Answer(s): 2410 mℓ
