Jade had 1790 mℓ more milk than Gabby. After Jade gave Gabby 460 mℓ of milk, the ratio of Jade's milk to Gabby's milk became 5 : 2. How much milk did Jade have at first? Give your answer in millilitres.
|
Jade |
Gabby |
Difference |
Before |
1 u + 1790 |
1 u |
1790 |
Change |
- 460 |
+ 460 |
|
After |
1 u + 1330 |
1 u + 460 |
870 |
Comparing Jade and Gabby in the end |
5 p |
2 p |
3 p |
Volume of milk that Jade had in the end
= 1 u + 1790 - 460
= 1 u + 1330
Difference in the volume of milk between Jade and Gabby in the end
= 5 p - 2 p
= 3 p
3 p = 1330 - 460
3 p = 870
1 p = 870 ÷ 3 = 290
Volume of milk that Jade had at first
= 5 p + 460
= 5 x 290 + 460
= 1450 + 460
= 1910 mℓ
Answer(s): 1910 mℓ