Elyse had 1700 mℓ more milk than Lucy. After Elyse gave Lucy 480 mℓ of milk, the ratio of Elyse's milk to Lucy's milk became 5 : 3. How much milk did Elyse have at first? Give your answer in millilitres.
|
Elyse |
Lucy |
Difference |
Before |
1 u + 1700 |
1 u |
1700 |
Change |
- 480 |
+ 480 |
|
After |
1 u + 1220 |
1 u + 480 |
740 |
Comparing Elyse and Lucy in the end |
5 p |
3 p |
2 p |
Volume of milk that Elyse had in the end
= 1 u + 1700 - 480
= 1 u + 1220
Difference in the volume of milk between Elyse and Lucy in the end
= 5 p - 3 p
= 2 p
2 p = 1220 - 480
2 p = 740
1 p = 740 ÷ 2 = 370
Volume of milk that Elyse had at first
= 5 p + 480
= 5 x 370 + 480
= 1850 + 480
= 2330 mℓ
Answer(s): 2330 mℓ