Min had 2160 mℓ more soy milk than Xuan. After Min gave Xuan 510 mℓ of soy milk, the ratio of Min's soy milk to Xuan's soy milk became 5 : 2. How much soy milk did Min have at first? Give your answer in millilitres.
| |
Min |
Xuan |
Difference |
| Before |
1 u + 2160 |
1 u |
2160 |
| Change |
- 510 |
+ 510 |
|
| After |
1 u + 1650 |
1 u + 510 |
1140 |
Comparing Min and
Xuan in the end |
5 p |
2 p |
3 p |
Volume of soy milk that Min had in the end
= 1 u + 2160 - 510
= 1 u + 1650
Difference in the volume of soy milk between Min and Xuan in the end
= 5 p - 2 p
= 3 p
3 p = 1650 - 510
3 p = 1140
1 p = 1140 ÷ 3 = 380
Volume of soy milk that Min had at first
= 5 p + 510
= 5 x 380 + 510
= 1900 + 510
= 2410 mℓ
Answer(s): 2410 mℓ
