Elyse had 1940 mℓ more tea than Natalie. After Elyse gave Natalie 490 mℓ of tea, the ratio of Elyse's tea to Natalie's tea became 7 : 4. How much tea did Elyse have at first? Give your answer in millilitres.
|
Elyse |
Natalie |
Difference |
Before |
1 u + 1940 |
1 u |
1940 |
Change |
- 490 |
+ 490 |
|
After |
1 u + 1450 |
1 u + 490 |
960 |
Comparing Elyse and Natalie in the end |
7 p |
4 p |
3 p |
Volume of tea that Elyse had in the end
= 1 u + 1940 - 490
= 1 u + 1450
Difference in the volume of tea between Elyse and Natalie in the end
= 7 p - 4 p
= 3 p
3 p = 1450 - 490
3 p = 960
1 p = 960 ÷ 3 = 320
Volume of tea that Elyse had at first
= 7 p + 490
= 7 x 320 + 490
= 2240 + 490
= 2730 mℓ
Answer(s): 2730 mℓ