Hazel had 1750 mℓ more orange juice than Jean. After Hazel gave Jean 470 mℓ of orange juice, the ratio of Hazel's orange juice to Jean's orange juice became 7 : 4. How much orange juice did Hazel have at first? Give your answer in millilitres.
| |
Hazel |
Jean |
Difference |
| Before |
1 u + 1750 |
1 u |
1750 |
| Change |
- 470 |
+ 470 |
|
| After |
1 u + 1280 |
1 u + 470 |
810 |
Comparing Hazel and
Jean in the end |
7 p |
4 p |
3 p |
Volume of orange juice that Hazel had in the end
= 1 u + 1750 - 470
= 1 u + 1280
Difference in the volume of orange juice between Hazel and Jean in the end
= 7 p - 4 p
= 3 p
3 p = 1280 - 470
3 p = 810
1 p = 810 ÷ 3 = 270
Volume of orange juice that Hazel had at first
= 7 p + 470
= 7 x 270 + 470
= 1890 + 470
= 2360 mℓ
Answer(s): 2360 mℓ
