Jade had 1920 mℓ more tea than Gem. After Jade gave Gem 540 mℓ of tea, the ratio of Jade's tea to Gem's tea became 7 : 3. How much tea did Jade have at first? Give your answer in millilitres.
|
Jade |
Gem |
Difference |
Before |
1 u + 1920 |
1 u |
1920 |
Change |
- 540 |
+ 540 |
|
After |
1 u + 1380 |
1 u + 540 |
840 |
Comparing Jade and Gem in the end |
7 p |
3 p |
4 p |
Volume of tea that Jade had in the end
= 1 u + 1920 - 540
= 1 u + 1380
Difference in the volume of tea between Jade and Gem in the end
= 7 p - 3 p
= 4 p
4 p = 1380 - 540
4 p = 840
1 p = 840 ÷ 4 = 210
Volume of tea that Jade had at first
= 7 p + 540
= 7 x 210 + 540
= 1470 + 540
= 2010 mℓ
Answer(s): 2010 mℓ