Elyse had 1990 mℓ more tea than Sabrina. After Elyse gave Sabrina 560 mℓ of tea, the ratio of Elyse's tea to Sabrina's tea became 7 : 4. How much tea did Elyse have at first? Give your answer in millilitres.
|
Elyse |
Sabrina |
Difference |
Before |
1 u + 1990 |
1 u |
1990 |
Change |
- 560 |
+ 560 |
|
After |
1 u + 1430 |
1 u + 560 |
870 |
Comparing Elyse and Sabrina in the end |
7 p |
4 p |
3 p |
Volume of tea that Elyse had in the end
= 1 u + 1990 - 560
= 1 u + 1430
Difference in the volume of tea between Elyse and Sabrina in the end
= 7 p - 4 p
= 3 p
3 p = 1430 - 560
3 p = 870
1 p = 870 ÷ 3 = 290
Volume of tea that Elyse had at first
= 7 p + 560
= 7 x 290 + 560
= 2030 + 560
= 2590 mℓ
Answer(s): 2590 mℓ