Jade had 2060 mℓ more milk than Victoria. After Jade gave Victoria 510 mℓ of milk, the ratio of Jade's milk to Victoria's milk became 7 : 3. How much milk did Jade have at first? Give your answer in millilitres.
|
Jade |
Victoria |
Difference |
Before |
1 u + 2060 |
1 u |
2060 |
Change |
- 510 |
+ 510 |
|
After |
1 u + 1550 |
1 u + 510 |
1040 |
Comparing Jade and Victoria in the end |
7 p |
3 p |
4 p |
Volume of milk that Jade had in the end
= 1 u + 2060 - 510
= 1 u + 1550
Difference in the volume of milk between Jade and Victoria in the end
= 7 p - 3 p
= 4 p
4 p = 1550 - 510
4 p = 1040
1 p = 1040 ÷ 4 = 260
Volume of milk that Jade had at first
= 7 p + 510
= 7 x 260 + 510
= 1820 + 510
= 2330 mℓ
Answer(s): 2330 mℓ