Lynn had 1620 mℓ more tea than Emily. After Lynn gave Emily 490 mℓ of tea, the ratio of Lynn's tea to Emily's tea became 5 : 3. How much tea did Lynn have at first? Give your answer in millilitres.
| |
Lynn |
Emily |
Difference |
| Before |
1 u + 1620 |
1 u |
1620 |
| Change |
- 490 |
+ 490 |
|
| After |
1 u + 1130 |
1 u + 490 |
640 |
Comparing Lynn and
Emily in the end |
5 p |
3 p |
2 p |
Volume of tea that Lynn had in the end
= 1 u + 1620 - 490
= 1 u + 1130
Difference in the volume of tea between Lynn and Emily in the end
= 5 p - 3 p
= 2 p
2 p = 1130 - 490
2 p = 640
1 p = 640 ÷ 2 = 320
Volume of tea that Lynn had at first
= 5 p + 490
= 5 x 320 + 490
= 1600 + 490
= 2090 mℓ
Answer(s): 2090 mℓ
