Xandra had 1550 mℓ more juice than Gillian. After Xandra gave Gillian 550 mℓ of juice, the ratio of Xandra's juice to Gillian's juice became 7 : 4. How much juice did Xandra have at first? Give your answer in millilitres.
| |
Xandra |
Gillian |
Difference |
| Before |
1 u + 1550 |
1 u |
1550 |
| Change |
- 550 |
+ 550 |
|
| After |
1 u + 1000 |
1 u + 550 |
450 |
Comparing Xandra and
Gillian in the end |
7 p |
4 p |
3 p |
Volume of juice that Xandra had in the end
= 1 u + 1550 - 550
= 1 u + 1000
Difference in the volume of juice between Xandra and Gillian in the end
= 7 p - 4 p
= 3 p
3 p = 1000 - 550
3 p = 450
1 p = 450 ÷ 3 = 150
Volume of juice that Xandra had at first
= 7 p + 550
= 7 x 150 + 550
= 1050 + 550
= 1600 mℓ
Answer(s): 1600 mℓ
