Emily had 1460 mℓ more orange juice than Gillian. After Emily gave Gillian 460 mℓ of orange juice, the ratio of Emily's orange juice to Gillian's orange juice became 7 : 4. How much orange juice did Emily have at first? Give your answer in millilitres.
|
Emily |
Gillian |
Difference |
Before |
1 u + 1460 |
1 u |
1460 |
Change |
- 460 |
+ 460 |
|
After |
1 u + 1000 |
1 u + 460 |
540 |
Comparing Emily and Gillian in the end |
7 p |
4 p |
3 p |
Volume of orange juice that Emily had in the end
= 1 u + 1460 - 460
= 1 u + 1000
Difference in the volume of orange juice between Emily and Gillian in the end
= 7 p - 4 p
= 3 p
3 p = 1000 - 460
3 p = 540
1 p = 540 ÷ 3 = 180
Volume of orange juice that Emily had at first
= 7 p + 460
= 7 x 180 + 460
= 1260 + 460
= 1720 mℓ
Answer(s): 1720 mℓ