Cindy had 1460 mℓ more milk than Diana. After Cindy gave Diana 460 mℓ of milk, the ratio of Cindy's milk to Diana's milk became 5 : 3. How much milk did Cindy have at first? Give your answer in millilitres.
|
Cindy |
Diana |
Difference |
Before |
1 u + 1460 |
1 u |
1460 |
Change |
- 460 |
+ 460 |
|
After |
1 u + 1000 |
1 u + 460 |
540 |
Comparing Cindy and Diana in the end |
5 p |
3 p |
2 p |
Volume of milk that Cindy had in the end
= 1 u + 1460 - 460
= 1 u + 1000
Difference in the volume of milk between Cindy and Diana in the end
= 5 p - 3 p
= 2 p
2 p = 1000 - 460
2 p = 540
1 p = 540 ÷ 2 = 270
Volume of milk that Cindy had at first
= 5 p + 460
= 5 x 270 + 460
= 1350 + 460
= 1810 mℓ
Answer(s): 1810 mℓ