Marion had 1770 mℓ more soy milk than Fiona. After Marion gave Fiona 450 mℓ of soy milk, the ratio of Marion's soy milk to Fiona's soy milk became 5 : 2. How much soy milk did Marion have at first? Give your answer in millilitres.
| |
Marion |
Fiona |
Difference |
| Before |
1 u + 1770 |
1 u |
1770 |
| Change |
- 450 |
+ 450 |
|
| After |
1 u + 1320 |
1 u + 450 |
870 |
Comparing Marion and
Fiona in the end |
5 p |
2 p |
3 p |
Volume of soy milk that Marion had in the end
= 1 u + 1770 - 450
= 1 u + 1320
Difference in the volume of soy milk between Marion and Fiona in the end
= 5 p - 2 p
= 3 p
3 p = 1320 - 450
3 p = 870
1 p = 870 ÷ 3 = 290
Volume of soy milk that Marion had at first
= 5 p + 450
= 5 x 290 + 450
= 1450 + 450
= 1900 mℓ
Answer(s): 1900 mℓ
