Cindy had 1730 mℓ more tea than Fanny. After Cindy gave Fanny 400 mℓ of tea, the ratio of Cindy's tea to Fanny's tea became 7 : 4. How much tea did Cindy have at first? Give your answer in millilitres.
|
Cindy |
Fanny |
Difference |
Before |
1 u + 1730 |
1 u |
1730 |
Change |
- 400 |
+ 400 |
|
After |
1 u + 1330 |
1 u + 400 |
930 |
Comparing Cindy and Fanny in the end |
7 p |
4 p |
3 p |
Volume of tea that Cindy had in the end
= 1 u + 1730 - 400
= 1 u + 1330
Difference in the volume of tea between Cindy and Fanny in the end
= 7 p - 4 p
= 3 p
3 p = 1330 - 400
3 p = 930
1 p = 930 ÷ 3 = 310
Volume of tea that Cindy had at first
= 7 p + 400
= 7 x 310 + 400
= 2170 + 400
= 2570 mℓ
Answer(s): 2570 mℓ