Usha had 2110 mℓ more milk than Julie. After Usha gave Julie 500 mℓ of milk, the ratio of Usha's milk to Julie's milk became 7 : 4. How much milk did Usha have at first? Give your answer in millilitres.
|
Usha |
Julie |
Difference |
Before |
1 u + 2110 |
1 u |
2110 |
Change |
- 500 |
+ 500 |
|
After |
1 u + 1610 |
1 u + 500 |
1110 |
Comparing Usha and Julie in the end |
7 p |
4 p |
3 p |
Volume of milk that Usha had in the end
= 1 u + 2110 - 500
= 1 u + 1610
Difference in the volume of milk between Usha and Julie in the end
= 7 p - 4 p
= 3 p
3 p = 1610 - 500
3 p = 1110
1 p = 1110 ÷ 3 = 370
Volume of milk that Usha had at first
= 7 p + 500
= 7 x 370 + 500
= 2590 + 500
= 3090 mℓ
Answer(s): 3090 mℓ