Marion had 1520 mℓ more orange juice than Xandra. After Marion gave Xandra 480 mℓ of orange juice, the ratio of Marion's orange juice to Xandra's orange juice became 5 : 3. How much orange juice did Marion have at first? Give your answer in millilitres.
|
Marion |
Xandra |
Difference |
Before |
1 u + 1520 |
1 u |
1520 |
Change |
- 480 |
+ 480 |
|
After |
1 u + 1040 |
1 u + 480 |
560 |
Comparing Marion and Xandra in the end |
5 p |
3 p |
2 p |
Volume of orange juice that Marion had in the end
= 1 u + 1520 - 480
= 1 u + 1040
Difference in the volume of orange juice between Marion and Xandra in the end
= 5 p - 3 p
= 2 p
2 p = 1040 - 480
2 p = 560
1 p = 560 ÷ 2 = 280
Volume of orange juice that Marion had at first
= 5 p + 480
= 5 x 280 + 480
= 1400 + 480
= 1880 mℓ
Answer(s): 1880 mℓ