Gwen had 1350 mℓ more tea than Abi. After Gwen gave Abi 450 mℓ of tea, the ratio of Gwen's tea to Abi's tea became 7 : 4. How much tea did Gwen have at first? Give your answer in millilitres.
|
Gwen |
Abi |
Difference |
Before |
1 u + 1350 |
1 u |
1350 |
Change |
- 450 |
+ 450 |
|
After |
1 u + 900 |
1 u + 450 |
450 |
Comparing Gwen and Abi in the end |
7 p |
4 p |
3 p |
Volume of tea that Gwen had in the end
= 1 u + 1350 - 450
= 1 u + 900
Difference in the volume of tea between Gwen and Abi in the end
= 7 p - 4 p
= 3 p
3 p = 900 - 450
3 p = 450
1 p = 450 ÷ 3 = 150
Volume of tea that Gwen had at first
= 7 p + 450
= 7 x 150 + 450
= 1050 + 450
= 1500 mℓ
Answer(s): 1500 mℓ