Tammy had 2190 mℓ more tea than Min. After Tammy gave Min 540 mℓ of tea, the ratio of Tammy's tea to Min's tea became 7 : 4. How much tea did Tammy have at first? Give your answer in millilitres.
|
Tammy |
Min |
Difference |
Before |
1 u + 2190 |
1 u |
2190 |
Change |
- 540 |
+ 540 |
|
After |
1 u + 1650 |
1 u + 540 |
1110 |
Comparing Tammy and Min in the end |
7 p |
4 p |
3 p |
Volume of tea that Tammy had in the end
= 1 u + 2190 - 540
= 1 u + 1650
Difference in the volume of tea between Tammy and Min in the end
= 7 p - 4 p
= 3 p
3 p = 1650 - 540
3 p = 1110
1 p = 1110 ÷ 3 = 370
Volume of tea that Tammy had at first
= 7 p + 540
= 7 x 370 + 540
= 2590 + 540
= 3130 mℓ
Answer(s): 3130 mℓ