Natalie had 1660 mℓ more milk than Jade. After Natalie gave Jade 460 mℓ of milk, the ratio of Natalie's milk to Jade's milk became 5 : 3. How much milk did Natalie have at first? Give your answer in millilitres.
|
Natalie |
Jade |
Difference |
Before |
1 u + 1660 |
1 u |
1660 |
Change |
- 460 |
+ 460 |
|
After |
1 u + 1200 |
1 u + 460 |
740 |
Comparing Natalie and Jade in the end |
5 p |
3 p |
2 p |
Volume of milk that Natalie had in the end
= 1 u + 1660 - 460
= 1 u + 1200
Difference in the volume of milk between Natalie and Jade in the end
= 5 p - 3 p
= 2 p
2 p = 1200 - 460
2 p = 740
1 p = 740 ÷ 2 = 370
Volume of milk that Natalie had at first
= 5 p + 460
= 5 x 370 + 460
= 1850 + 460
= 2310 mℓ
Answer(s): 2310 mℓ