Joelle had 1520 mℓ more orange juice than Min. After Joelle gave Min 430 mℓ of orange juice, the ratio of Joelle's orange juice to Min's orange juice became 5 : 2. How much orange juice did Joelle have at first? Give your answer in millilitres.
|
Joelle |
Min |
Difference |
Before |
1 u + 1520 |
1 u |
1520 |
Change |
- 430 |
+ 430 |
|
After |
1 u + 1090 |
1 u + 430 |
660 |
Comparing Joelle and Min in the end |
5 p |
2 p |
3 p |
Volume of orange juice that Joelle had in the end
= 1 u + 1520 - 430
= 1 u + 1090
Difference in the volume of orange juice between Joelle and Min in the end
= 5 p - 2 p
= 3 p
3 p = 1090 - 430
3 p = 660
1 p = 660 ÷ 3 = 220
Volume of orange juice that Joelle had at first
= 5 p + 430
= 5 x 220 + 430
= 1100 + 430
= 1530 mℓ
Answer(s): 1530 mℓ