Nicole had 2100 mℓ more milk than Victoria. After Nicole gave Victoria 590 mℓ of milk, the ratio of Nicole's milk to Victoria's milk became 7 : 3. How much milk did Nicole have at first? Give your answer in millilitres.
|
Nicole |
Victoria |
Difference |
Before |
1 u + 2100 |
1 u |
2100 |
Change |
- 590 |
+ 590 |
|
After |
1 u + 1510 |
1 u + 590 |
920 |
Comparing Nicole and Victoria in the end |
7 p |
3 p |
4 p |
Volume of milk that Nicole had in the end
= 1 u + 2100 - 590
= 1 u + 1510
Difference in the volume of milk between Nicole and Victoria in the end
= 7 p - 3 p
= 4 p
4 p = 1510 - 590
4 p = 920
1 p = 920 ÷ 4 = 230
Volume of milk that Nicole had at first
= 7 p + 590
= 7 x 230 + 590
= 1610 + 590
= 2200 mℓ
Answer(s): 2200 mℓ