Jean had 1530 mℓ more milk than Joelle. After Jean gave Joelle 420 mℓ of milk, the ratio of Jean's milk to Joelle's milk became 5 : 2. How much milk did Jean have at first? Give your answer in millilitres.
|
Jean |
Joelle |
Difference |
Before |
1 u + 1530 |
1 u |
1530 |
Change |
- 420 |
+ 420 |
|
After |
1 u + 1110 |
1 u + 420 |
690 |
Comparing Jean and Joelle in the end |
5 p |
2 p |
3 p |
Volume of milk that Jean had in the end
= 1 u + 1530 - 420
= 1 u + 1110
Difference in the volume of milk between Jean and Joelle in the end
= 5 p - 2 p
= 3 p
3 p = 1110 - 420
3 p = 690
1 p = 690 ÷ 3 = 230
Volume of milk that Jean had at first
= 5 p + 420
= 5 x 230 + 420
= 1150 + 420
= 1570 mℓ
Answer(s): 1570 mℓ