Min had 2000 mℓ more soy milk than Linda. After Min gave Linda 430 mℓ of soy milk, the ratio of Min's soy milk to Linda's soy milk became 5 : 2. How much soy milk did Min have at first? Give your answer in millilitres.
|
Min |
Linda |
Difference |
Before |
1 u + 2000 |
1 u |
2000 |
Change |
- 430 |
+ 430 |
|
After |
1 u + 1570 |
1 u + 430 |
1140 |
Comparing Min and Linda in the end |
5 p |
2 p |
3 p |
Volume of soy milk that Min had in the end
= 1 u + 2000 - 430
= 1 u + 1570
Difference in the volume of soy milk between Min and Linda in the end
= 5 p - 2 p
= 3 p
3 p = 1570 - 430
3 p = 1140
1 p = 1140 ÷ 3 = 380
Volume of soy milk that Min had at first
= 5 p + 430
= 5 x 380 + 430
= 1900 + 430
= 2330 mℓ
Answer(s): 2330 mℓ