Marion had 2080 mℓ more orange juice than Kylie. After Marion gave Kylie 530 mℓ of orange juice, the ratio of Marion's orange juice to Kylie's orange juice became 7 : 4. How much orange juice did Marion have at first? Give your answer in millilitres.
|
Marion |
Kylie |
Difference |
Before |
1 u + 2080 |
1 u |
2080 |
Change |
- 530 |
+ 530 |
|
After |
1 u + 1550 |
1 u + 530 |
1020 |
Comparing Marion and Kylie in the end |
7 p |
4 p |
3 p |
Volume of orange juice that Marion had in the end
= 1 u + 2080 - 530
= 1 u + 1550
Difference in the volume of orange juice between Marion and Kylie in the end
= 7 p - 4 p
= 3 p
3 p = 1550 - 530
3 p = 1020
1 p = 1020 ÷ 3 = 340
Volume of orange juice that Marion had at first
= 7 p + 530
= 7 x 340 + 530
= 2380 + 530
= 2910 mℓ
Answer(s): 2910 mℓ