Fanny had 2260 mℓ more coffee than Joelle. After Fanny gave Joelle 430 mℓ of coffee, the ratio of Fanny's coffee to Joelle's coffee became 7 : 3. How much coffee did Fanny have at first? Give your answer in millilitres.
|
Fanny |
Joelle |
Difference |
Before |
1 u + 2260 |
1 u |
2260 |
Change |
- 430 |
+ 430 |
|
After |
1 u + 1830 |
1 u + 430 |
1400 |
Comparing Fanny and Joelle in the end |
7 p |
3 p |
4 p |
Volume of coffee that Fanny had in the end
= 1 u + 2260 - 430
= 1 u + 1830
Difference in the volume of coffee between Fanny and Joelle in the end
= 7 p - 3 p
= 4 p
4 p = 1830 - 430
4 p = 1400
1 p = 1400 ÷ 4 = 350
Volume of coffee that Fanny had at first
= 7 p + 430
= 7 x 350 + 430
= 2450 + 430
= 2880 mℓ
Answer(s): 2880 mℓ