Fanny had 2140 mℓ more orange juice than Kimberly. After Fanny gave Kimberly 530 mℓ of orange juice, the ratio of Fanny's orange juice to Kimberly's orange juice became 5 : 2. How much orange juice did Fanny have at first? Give your answer in millilitres.
| |
Fanny |
Kimberly |
Difference |
| Before |
1 u + 2140 |
1 u |
2140 |
| Change |
- 530 |
+ 530 |
|
| After |
1 u + 1610 |
1 u + 530 |
1080 |
Comparing Fanny and
Kimberly in the end |
5 p |
2 p |
3 p |
Volume of orange juice that Fanny had in the end
= 1 u + 2140 - 530
= 1 u + 1610
Difference in the volume of orange juice between Fanny and Kimberly in the end
= 5 p - 2 p
= 3 p
3 p = 1610 - 530
3 p = 1080
1 p = 1080 ÷ 3 = 360
Volume of orange juice that Fanny had at first
= 5 p + 530
= 5 x 360 + 530
= 1800 + 530
= 2330 mℓ
Answer(s): 2330 mℓ
