Eva had 1750 mℓ more tea than Dana. After Eva gave Dana 410 mℓ of tea, the ratio of Eva's tea to Dana's tea became 5 : 2. How much tea did Eva have at first? Give your answer in millilitres.
| |
Eva |
Dana |
Difference |
| Before |
1 u + 1750 |
1 u |
1750 |
| Change |
- 410 |
+ 410 |
|
| After |
1 u + 1340 |
1 u + 410 |
930 |
Comparing Eva and
Dana in the end |
5 p |
2 p |
3 p |
Volume of tea that Eva had in the end
= 1 u + 1750 - 410
= 1 u + 1340
Difference in the volume of tea between Eva and Dana in the end
= 5 p - 2 p
= 3 p
3 p = 1340 - 410
3 p = 930
1 p = 930 ÷ 3 = 310
Volume of tea that Eva had at first
= 5 p + 410
= 5 x 310 + 410
= 1550 + 410
= 1960 mℓ
Answer(s): 1960 mℓ
