Gwen had 1560 mℓ more tea than Olivia. After Gwen gave Olivia 540 mℓ of tea, the ratio of Gwen's tea to Olivia's tea became 5 : 3. How much tea did Gwen have at first? Give your answer in millilitres.
| |
Gwen |
Olivia |
Difference |
| Before |
1 u + 1560 |
1 u |
1560 |
| Change |
- 540 |
+ 540 |
|
| After |
1 u + 1020 |
1 u + 540 |
480 |
Comparing Gwen and
Olivia in the end |
5 p |
3 p |
2 p |
Volume of tea that Gwen had in the end
= 1 u + 1560 - 540
= 1 u + 1020
Difference in the volume of tea between Gwen and Olivia in the end
= 5 p - 3 p
= 2 p
2 p = 1020 - 540
2 p = 480
1 p = 480 ÷ 2 = 240
Volume of tea that Gwen had at first
= 5 p + 540
= 5 x 240 + 540
= 1200 + 540
= 1740 mℓ
Answer(s): 1740 mℓ
