Shannon had 2520 mℓ more milk than Gabby. After Shannon gave Gabby 600 mℓ of milk, the ratio of Shannon's milk to Gabby's milk became 7 : 3. How much milk did Shannon have at first? Give your answer in millilitres.
|
Shannon |
Gabby |
Difference |
Before |
1 u + 2520 |
1 u |
2520 |
Change |
- 600 |
+ 600 |
|
After |
1 u + 1920 |
1 u + 600 |
1320 |
Comparing Shannon and Gabby in the end |
7 p |
3 p |
4 p |
Volume of milk that Shannon had in the end
= 1 u + 2520 - 600
= 1 u + 1920
Difference in the volume of milk between Shannon and Gabby in the end
= 7 p - 3 p
= 4 p
4 p = 1920 - 600
4 p = 1320
1 p = 1320 ÷ 4 = 330
Volume of milk that Shannon had at first
= 7 p + 600
= 7 x 330 + 600
= 2310 + 600
= 2910 mℓ
Answer(s): 2910 mℓ