Shiyun had 2110 mℓ more soy milk than Jane. After Shiyun gave Jane 530 mℓ of soy milk, the ratio of Shiyun's soy milk to Jane's soy milk became 7 : 4. How much soy milk did Shiyun have at first? Give your answer in millilitres.
| |
Shiyun |
Jane |
Difference |
| Before |
1 u + 2110 |
1 u |
2110 |
| Change |
- 530 |
+ 530 |
|
| After |
1 u + 1580 |
1 u + 530 |
1050 |
Comparing Shiyun and
Jane in the end |
7 p |
4 p |
3 p |
Volume of soy milk that Shiyun had in the end
= 1 u + 2110 - 530
= 1 u + 1580
Difference in the volume of soy milk between Shiyun and Jane in the end
= 7 p - 4 p
= 3 p
3 p = 1580 - 530
3 p = 1050
1 p = 1050 ÷ 3 = 350
Volume of soy milk that Shiyun had at first
= 7 p + 530
= 7 x 350 + 530
= 2450 + 530
= 2980 mℓ
Answer(s): 2980 mℓ
