Jane had 2340 mℓ more tea than Nora. After Jane gave Nora 530 mℓ of tea, the ratio of Jane's tea to Nora's tea became 7 : 3. How much tea did Jane have at first? Give your answer in millilitres.
|
Jane |
Nora |
Difference |
Before |
1 u + 2340 |
1 u |
2340 |
Change |
- 530 |
+ 530 |
|
After |
1 u + 1810 |
1 u + 530 |
1280 |
Comparing Jane and Nora in the end |
7 p |
3 p |
4 p |
Volume of tea that Jane had in the end
= 1 u + 2340 - 530
= 1 u + 1810
Difference in the volume of tea between Jane and Nora in the end
= 7 p - 3 p
= 4 p
4 p = 1810 - 530
4 p = 1280
1 p = 1280 ÷ 4 = 320
Volume of tea that Jane had at first
= 7 p + 530
= 7 x 320 + 530
= 2240 + 530
= 2770 mℓ
Answer(s): 2770 mℓ