Ivory had 2160 mℓ more juice than Nora. After Ivory gave Nora 540 mℓ of juice, the ratio of Ivory's juice to Nora's juice became 7 : 3. How much juice did Ivory have at first? Give your answer in millilitres.
|
Ivory |
Nora |
Difference |
Before |
1 u + 2160 |
1 u |
2160 |
Change |
- 540 |
+ 540 |
|
After |
1 u + 1620 |
1 u + 540 |
1080 |
Comparing Ivory and Nora in the end |
7 p |
3 p |
4 p |
Volume of juice that Ivory had in the end
= 1 u + 2160 - 540
= 1 u + 1620
Difference in the volume of juice between Ivory and Nora in the end
= 7 p - 3 p
= 4 p
4 p = 1620 - 540
4 p = 1080
1 p = 1080 ÷ 4 = 270
Volume of juice that Ivory had at first
= 7 p + 540
= 7 x 270 + 540
= 1890 + 540
= 2430 mℓ
Answer(s): 2430 mℓ