Lucy had 1400 mℓ more orange juice than Lynn. After Lucy gave Lynn 430 mℓ of orange juice, the ratio of Lucy's orange juice to Lynn's orange juice became 5 : 3. How much orange juice did Lucy have at first? Give your answer in millilitres.
|
Lucy |
Lynn |
Difference |
Before |
1 u + 1400 |
1 u |
1400 |
Change |
- 430 |
+ 430 |
|
After |
1 u + 970 |
1 u + 430 |
540 |
Comparing Lucy and Lynn in the end |
5 p |
3 p |
2 p |
Volume of orange juice that Lucy had in the end
= 1 u + 1400 - 430
= 1 u + 970
Difference in the volume of orange juice between Lucy and Lynn in the end
= 5 p - 3 p
= 2 p
2 p = 970 - 430
2 p = 540
1 p = 540 ÷ 2 = 270
Volume of orange juice that Lucy had at first
= 5 p + 430
= 5 x 270 + 430
= 1350 + 430
= 1780 mℓ
Answer(s): 1780 mℓ