Abi had 1980 mℓ more tea than Tammy. After Abi gave Tammy 430 mℓ of tea, the ratio of Abi's tea to Tammy's tea became 7 : 3. How much tea did Abi have at first? Give your answer in millilitres.
|
Abi |
Tammy |
Difference |
Before |
1 u + 1980 |
1 u |
1980 |
Change |
- 430 |
+ 430 |
|
After |
1 u + 1550 |
1 u + 430 |
1120 |
Comparing Abi and Tammy in the end |
7 p |
3 p |
4 p |
Volume of tea that Abi had in the end
= 1 u + 1980 - 430
= 1 u + 1550
Difference in the volume of tea between Abi and Tammy in the end
= 7 p - 3 p
= 4 p
4 p = 1550 - 430
4 p = 1120
1 p = 1120 ÷ 4 = 280
Volume of tea that Abi had at first
= 7 p + 430
= 7 x 280 + 430
= 1960 + 430
= 2390 mℓ
Answer(s): 2390 mℓ