Shiyun had 1600 mℓ more milk than Xandra. After Shiyun gave Xandra 400 mℓ of milk, the ratio of Shiyun's milk to Xandra's milk became 5 : 3. How much milk did Shiyun have at first? Give your answer in millilitres.
| |
Shiyun |
Xandra |
Difference |
| Before |
1 u + 1600 |
1 u |
1600 |
| Change |
- 400 |
+ 400 |
|
| After |
1 u + 1200 |
1 u + 400 |
800 |
Comparing Shiyun and
Xandra in the end |
5 p |
3 p |
2 p |
Volume of milk that Shiyun had in the end
= 1 u + 1600 - 400
= 1 u + 1200
Difference in the volume of milk between Shiyun and Xandra in the end
= 5 p - 3 p
= 2 p
2 p = 1200 - 400
2 p = 800
1 p = 800 ÷ 2 = 400
Volume of milk that Shiyun had at first
= 5 p + 400
= 5 x 400 + 400
= 2000 + 400
= 2400 mℓ
Answer(s): 2400 mℓ
