Emily had 2210 mℓ more orange juice than Nora. After Emily gave Nora 550 mℓ of orange juice, the ratio of Emily's orange juice to Nora's orange juice became 7 : 4. How much orange juice did Emily have at first? Give your answer in millilitres.
|
Emily |
Nora |
Difference |
Before |
1 u + 2210 |
1 u |
2210 |
Change |
- 550 |
+ 550 |
|
After |
1 u + 1660 |
1 u + 550 |
1110 |
Comparing Emily and Nora in the end |
7 p |
4 p |
3 p |
Volume of orange juice that Emily had in the end
= 1 u + 2210 - 550
= 1 u + 1660
Difference in the volume of orange juice between Emily and Nora in the end
= 7 p - 4 p
= 3 p
3 p = 1660 - 550
3 p = 1110
1 p = 1110 ÷ 3 = 370
Volume of orange juice that Emily had at first
= 7 p + 550
= 7 x 370 + 550
= 2590 + 550
= 3140 mℓ
Answer(s): 3140 mℓ