Mary had 2260 mℓ more milk than Esther. After Mary gave Esther 530 mℓ of milk, the ratio of Mary's milk to Esther's milk became 5 : 2. How much milk did Mary have at first? Give your answer in millilitres.
| |
Mary |
Esther |
Difference |
| Before |
1 u + 2260 |
1 u |
2260 |
| Change |
- 530 |
+ 530 |
|
| After |
1 u + 1730 |
1 u + 530 |
1200 |
Comparing Mary and
Esther in the end |
5 p |
2 p |
3 p |
Volume of milk that Mary had in the end
= 1 u + 2260 - 530
= 1 u + 1730
Difference in the volume of milk between Mary and Esther in the end
= 5 p - 2 p
= 3 p
3 p = 1730 - 530
3 p = 1200
1 p = 1200 ÷ 3 = 400
Volume of milk that Mary had at first
= 5 p + 530
= 5 x 400 + 530
= 2000 + 530
= 2530 mℓ
Answer(s): 2530 mℓ
