Eva had 2100 mℓ more milk than Irene. After Eva gave Irene 510 mℓ of milk, the ratio of Eva's milk to Irene's milk became 5 : 2. How much milk did Eva have at first? Give your answer in millilitres.
| |
Eva |
Irene |
Difference |
| Before |
1 u + 2100 |
1 u |
2100 |
| Change |
- 510 |
+ 510 |
|
| After |
1 u + 1590 |
1 u + 510 |
1080 |
Comparing Eva and
Irene in the end |
5 p |
2 p |
3 p |
Volume of milk that Eva had in the end
= 1 u + 2100 - 510
= 1 u + 1590
Difference in the volume of milk between Eva and Irene in the end
= 5 p - 2 p
= 3 p
3 p = 1590 - 510
3 p = 1080
1 p = 1080 ÷ 3 = 360
Volume of milk that Eva had at first
= 5 p + 510
= 5 x 360 + 510
= 1800 + 510
= 2310 mℓ
Answer(s): 2310 mℓ
