Marion had 2360 mℓ more milk than Julie. After Marion gave Julie 520 mℓ of milk, the ratio of Marion's milk to Julie's milk became 7 : 3. How much milk did Marion have at first? Give your answer in millilitres.
|
Marion |
Julie |
Difference |
Before |
1 u + 2360 |
1 u |
2360 |
Change |
- 520 |
+ 520 |
|
After |
1 u + 1840 |
1 u + 520 |
1320 |
Comparing Marion and Julie in the end |
7 p |
3 p |
4 p |
Volume of milk that Marion had in the end
= 1 u + 2360 - 520
= 1 u + 1840
Difference in the volume of milk between Marion and Julie in the end
= 7 p - 3 p
= 4 p
4 p = 1840 - 520
4 p = 1320
1 p = 1320 ÷ 4 = 330
Volume of milk that Marion had at first
= 7 p + 520
= 7 x 330 + 520
= 2310 + 520
= 2830 mℓ
Answer(s): 2830 mℓ