Yen had 2020 mℓ more juice than Shiyun. After Yen gave Shiyun 500 mℓ of juice, the ratio of Yen's juice to Shiyun's juice became 7 : 4. How much juice did Yen have at first? Give your answer in millilitres.
| |
Yen |
Shiyun |
Difference |
| Before |
1 u + 2020 |
1 u |
2020 |
| Change |
- 500 |
+ 500 |
|
| After |
1 u + 1520 |
1 u + 500 |
1020 |
Comparing Yen and
Shiyun in the end |
7 p |
4 p |
3 p |
Volume of juice that Yen had in the end
= 1 u + 2020 - 500
= 1 u + 1520
Difference in the volume of juice between Yen and Shiyun in the end
= 7 p - 4 p
= 3 p
3 p = 1520 - 500
3 p = 1020
1 p = 1020 ÷ 3 = 340
Volume of juice that Yen had at first
= 7 p + 500
= 7 x 340 + 500
= 2380 + 500
= 2880 mℓ
Answer(s): 2880 mℓ
