Victoria had 2000 mℓ more milk than Yoko. After Victoria gave Yoko 500 mℓ of milk, the ratio of Victoria's milk to Yoko's milk became 7 : 3. How much milk did Victoria have at first? Give your answer in millilitres.
|
Victoria |
Yoko |
Difference |
Before |
1 u + 2000 |
1 u |
2000 |
Change |
- 500 |
+ 500 |
|
After |
1 u + 1500 |
1 u + 500 |
1000 |
Comparing Victoria and Yoko in the end |
7 p |
3 p |
4 p |
Volume of milk that Victoria had in the end
= 1 u + 2000 - 500
= 1 u + 1500
Difference in the volume of milk between Victoria and Yoko in the end
= 7 p - 3 p
= 4 p
4 p = 1500 - 500
4 p = 1000
1 p = 1000 ÷ 4 = 250
Volume of milk that Victoria had at first
= 7 p + 500
= 7 x 250 + 500
= 1750 + 500
= 2250 mℓ
Answer(s): 2250 mℓ