Gwen had 2310 mℓ more coffee than Fanny. After Gwen gave Fanny 600 mℓ of coffee, the ratio of Gwen's coffee to Fanny's coffee became 7 : 4. How much coffee did Gwen have at first? Give your answer in millilitres.
|
Gwen |
Fanny |
Difference |
Before |
1 u + 2310 |
1 u |
2310 |
Change |
- 600 |
+ 600 |
|
After |
1 u + 1710 |
1 u + 600 |
1110 |
Comparing Gwen and Fanny in the end |
7 p |
4 p |
3 p |
Volume of coffee that Gwen had in the end
= 1 u + 2310 - 600
= 1 u + 1710
Difference in the volume of coffee between Gwen and Fanny in the end
= 7 p - 4 p
= 3 p
3 p = 1710 - 600
3 p = 1110
1 p = 1110 ÷ 3 = 370
Volume of coffee that Gwen had at first
= 7 p + 600
= 7 x 370 + 600
= 2590 + 600
= 3190 mℓ
Answer(s): 3190 mℓ