Tiffany had 1180 mℓ more milk than Irene. After Tiffany gave Irene 430 mℓ of milk, the ratio of Tiffany's milk to Irene's milk became 5 : 3. How much milk did Tiffany have at first? Give your answer in millilitres.
|
Tiffany |
Irene |
Difference |
Before |
1 u + 1180 |
1 u |
1180 |
Change |
- 430 |
+ 430 |
|
After |
1 u + 750 |
1 u + 430 |
320 |
Comparing Tiffany and Irene in the end |
5 p |
3 p |
2 p |
Volume of milk that Tiffany had in the end
= 1 u + 1180 - 430
= 1 u + 750
Difference in the volume of milk between Tiffany and Irene in the end
= 5 p - 3 p
= 2 p
2 p = 750 - 430
2 p = 320
1 p = 320 ÷ 2 = 160
Volume of milk that Tiffany had at first
= 5 p + 430
= 5 x 160 + 430
= 800 + 430
= 1230 mℓ
Answer(s): 1230 mℓ