Victoria had 2100 mℓ more soy milk than Shannon. After Victoria gave Shannon 510 mℓ of soy milk, the ratio of Victoria's soy milk to Shannon's soy milk became 7 : 3. How much soy milk did Victoria have at first? Give your answer in millilitres.
|
Victoria |
Shannon |
Difference |
Before |
1 u + 2100 |
1 u |
2100 |
Change |
- 510 |
+ 510 |
|
After |
1 u + 1590 |
1 u + 510 |
1080 |
Comparing Victoria and Shannon in the end |
7 p |
3 p |
4 p |
Volume of soy milk that Victoria had in the end
= 1 u + 2100 - 510
= 1 u + 1590
Difference in the volume of soy milk between Victoria and Shannon in the end
= 7 p - 3 p
= 4 p
4 p = 1590 - 510
4 p = 1080
1 p = 1080 ÷ 4 = 270
Volume of soy milk that Victoria had at first
= 7 p + 510
= 7 x 270 + 510
= 1890 + 510
= 2400 mℓ
Answer(s): 2400 mℓ