Jean had 2160 mℓ more orange juice than Hazel. After Jean gave Hazel 600 mℓ of orange juice, the ratio of Jean's orange juice to Hazel's orange juice became 7 : 3. How much orange juice did Jean have at first? Give your answer in millilitres.
|
Jean |
Hazel |
Difference |
Before |
1 u + 2160 |
1 u |
2160 |
Change |
- 600 |
+ 600 |
|
After |
1 u + 1560 |
1 u + 600 |
960 |
Comparing Jean and Hazel in the end |
7 p |
3 p |
4 p |
Volume of orange juice that Jean had in the end
= 1 u + 2160 - 600
= 1 u + 1560
Difference in the volume of orange juice between Jean and Hazel in the end
= 7 p - 3 p
= 4 p
4 p = 1560 - 600
4 p = 960
1 p = 960 ÷ 4 = 240
Volume of orange juice that Jean had at first
= 7 p + 600
= 7 x 240 + 600
= 1680 + 600
= 2280 mℓ
Answer(s): 2280 mℓ